Your class is in groups, working on a combinatorics worksheet. One of the questions asks how many possible ways 5 books out of a box of 12 can be placed on a shelf. Your classmate suggests you calculate 12C5, which is 792. What would you say to explain how this suggestion is flawed, and how would you help correct them

Answers

Answer 1

Answer: 95040

Step-by-step explanation:

It is important to note that selection and arrangement are two different things in permutation and combination study. In the scenario above, we have 12 books, out of which 5 is to be arranged on a shelf. The answer prescribed by 12C5 which gives 792, only solves the selection process of choosing 5 books from a total of 12. Every 5 books picked will also have to be arranged on the shelf which is solved as n!(number of ways of arranging n different objects)

Hence, to arrange 5 books from a total of 12 books on a book shelf is

nCr * r!

12C5 * 5!

792 * 120

= 95040


Related Questions

11
12
What is that fraction decimal

Answers

Answer:

0.91666666666...

0.9166 I’m not sure if this is correct though

Jamie needs 1/5 meter of ribbon to decorate the border of a photo frame. Enter the number of photo frames that can be decorated using 4/5 meter of ribbon?

Answers

It’s 4 pieces of ribbon :)

The number of 4 of photo frames that can be decorated using 4/5 meter of ribbon.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Jamie needs 1/5 meter of ribbon to decorate the border of a photo frame.

And Jamie has  4/5 meter of ribbon.

To find the number of photo frames that can be decorated using 4/5 meter of ribbon:

So, using division operation,

the number of photo frames,

= 4/5 ÷ 1/5

= 4 x 5/5

= 4

Therefore, Jamie can make 4 photo frames from the given ribbon.

To learn more about the division;

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The seller of a watch marked up the price by 30%, and the new price is $468.00. What was the watch’s original price before the markup?

Answers

Answer: I THINK SO 608.4

HOPE THIS HELPS

least common denominator of 2/5 and 3/10

Answers

Least common denominator is 10

Nerissa has 5 pink bows 1 blue bow and 4 purple bows in a box. She will randomly choose 1 bow from the box. What is the probability Nerissa will choose a purple bow
A. 1/2
B. 2/5
C. 1/10
D. 3/5
I’ll mark brainliest

Answers

Answer: The probability is 2/5.

Step-by-step explanation: If there are 5 pink bows, 1 blue bow, and 4 purple bows, there are a total of 10 bows in the box. The probability of choosing a purple one is 4/10 (since there are 4 purple bows). 4/10 simplifies to 2/5.

The probability Nerissa will choose a purple bow is [tex]\frac{2}{5}[/tex].

Here Nerissa has 5 pink bows, 1 blue bow and 4 purple bows in a box.

She will randomly choose 1 box from the box.

What is Probability?  

The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

Now,

Total number of bows = 5 + 1 + 4 =10

Number of purple bow = 4

Probability to choose purple bow = [tex]\frac{Total number of purple bow}{Total number of bow }[/tex]

                                                   =   [tex]\frac{4}{10}[/tex]

                                                   =[tex]\frac{2}{5}[/tex]

So, probability to choose purple bow is 2/5.

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A certain field is a rectangle with a perimeter of 870 feet. The length is 191 feet more than the width. Find the width and length of the rectangular field

Answers

Answer:

it is 679

Step-by-step explanation:

List two examples of words/phrases that describe the mathematical operation of multiplication.

Answers

Answer:

Multiplied, Group Addition

Step-by-step explanation:

Again, all I know of.

There were five winning lottery tickets for a total jackpot of 40,000. 3 of the winners won twice as much as the other two. how much did each of the two that won the least get?

Answers

There are five prizes available on the 1000 lottery tickets that were sold, assuming Saket purchased one. Only 0.005% of participants will win something.

What does the term probability mean?Probability measures how likely an event is to occur. It's difficult to know everything that will happen in advance. We can only forecast how likely an event is to occur using it, or how likely it is to occur.The likelihood of an event occurring is determined by probability: P(A) = f / N. Probability and odds are related, but probability is necessary for odds to exist. Probability is required before calculating the likelihood of an event. Classical, empirical, subjective, and axiomatic viewpoints are the four most popular approaches to probability.Here is an easy use of probability in daily life that you probably already utilize. Before we organize a significant outing, we always consult the weather prediction. The forecaster will occasionally say that there is a 60% chance of rain.

Given,

Total number of outcomes =1000

Favorable outcomes =5

Simplify, 5 ÷ 1000

Then we get,

∴ Required probability  = 0.005.

The complete question is:

1000 tickets of a lottery were sold and there are 5 prizes on these tickets, if Saket has purchased one lottery ticket. What is the probability of wining a prize ?

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Kelly bought 3 pounds of chicken for 6.99 per pound 20 pounds of dog food 1.95 Per pound prices include the sales tax Kelly gave the cashier $60 how much change should Kelly receive

Answers

Answer: 3 cents

Step-by-step explanation: multiply the price per pound by the amount of pounds purchased for both items and add them together. Then take the amount paid and subtract the total from what was paid to get the change.

A student answered 42 problems on a test correctly and received a grade
of 70%. How many (total) problems were on the test, if all the problems
were worth the same number of points?

Answers

Answer:

Step-by-step explanation:

x is the number of questions on the test.

42/x = 70%

x = 42/70% = 42/0.70 = 60

f(x) = 4+9x, find f(-3)

Answers

Answer:

R3EWS.

Step-by-step explanation:

Elizabeth raises chickens and sells the eggs to a local supermarket. The supermarket pays $0.85 for every dozen eggs. How much money could Elizabeth expect to earn in a week if her chickens lay, on average, 51 dozen eggs per week?

Answers

Answer:

On average, Elizabeth will earn $43.35 per week if her chickens lay 51 dozen per week.

Step-by-step explanation:

0.85x

x represents how many dozens

0.85(51) = 43.35

Solve the problem

There were 36,000 people at a ball game in Los Angeles. The day's receipts were $304,000. How many people paid $14 for reserved seats and how many paid $6 for general

admission?

Answer:

paid $14 for reserved seats and

paid $6 for general admission

Answers

Answer:

11,000 paid $14 for reserved seats.

25,000 paid $6 for general admission.

Step-by-step explanation:

First, we need to establish the system of equations:

x= number of people that pay $14

y= number of people that pay $6

14*x + 6*y= $304,000

x + y= 36,000

Now, we isolate x in one equation and substitute it in the other one:

x= 36,000 - y

14*(36,000 - y) + 6y = 304,000

504,000 - 8y = 304,000

200,000 = 8y

25,000 = y

x= 36,000 - 25,000

x= 11,000

11,000 paid $14 for reserved seats.

25,000 paid $6 for general admission.

You are applying for graduate school at University A. In the past 42% of the applicants to this university have been accepted. It is also known that 70% of those students who have been accepted have had GMAT scores in excess of 550 while 40% of the students who were not accepted had GMAT scores in excess of 550. You take the GMAT exam and score 640. What is the probability that you will be accepted into the graduate school of university A

Answers

The answer is A7 or A14 because the are the same

can someone solve this for me please, i really need help

Answers

Answer:

I sorted them by colors: red goes with red, blue with blue, purple with purple and brown with brown :))

Step-by-step explanation:

Jabari owns 100 shares of Stock A and 45 shares of Stock B. For the past month, his stocks have been fluctuating inversely. Stock A decreased by m cents per share and Stock B increased by n cents per share. Which equation can be used to find the total change in value of Jabari's shares per month

Answers

Answer:

what hcomp10 said he is right

Step-by-step explanation:

Answer:

(100-m)+(45+n)

Step-by-step explanation:

100 -n and 45-m. You would have to add them together to get the amount of the shares.

there was 5/8 of a pie left on the fridge Daniel ate 1/4 of the leftover .how much of a pie did he have?​

Answers

Answer:

3/8

Step-by-step explanation:

Your need to change the 1/4 to eighths

so multiply it by 2

1/4 x 2/2

which equals 2/8

then you need to subtract it from the 5/8

5/8 - 2/8 = 3/8

Pretend your friend is struggling to solve equations and has asked you for help.
Describe how you would solve the equation below for y: 5(3y - 2) + 6y = 11

Answers

5(3y - 2) + 6y= 11
Multiply 5 with what is in the brackets =15y - 10 + 6y= 11
Add the numbers 15y and 6y
21y2 - 10= 11
Minus 10 from 21
11y2to the power 2
Divide by y
Therefore answer will be 11
Y =11

Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select all the equations that represent this situation.

Answers

Answer:

Step-by-step explanation:

You would have to divide 34.5 and 5 to be able to find out what each pencil measurement the answer is 6.9.

The division property of equality could be used to solve which of the following equation

A. 5x=30
B. X/4=16
C. (X+2) (x-2)= 0
D. X+3=7
Please help me

Answers

the answer would be A

Answer:

A

Step-by-step explanation:

5x = 30

divide both sides by 5:

x = 6

Let LaTeX: x = \text{-}\frac {11} 8x = - 11 8 and LaTeX: y = \text{-}\frac {11} 4y = - 11 4.
Which expression has a negative value?

Group of answer choices

LaTeX: x + yx + y

LaTeX: x - yx − y

LaTeX: x \cdot yx ⋅ y

LaTeX: \frac x y

Answers

Answer:

This makes no sense

Step-by-step explanation:

PLEASE help, i have limited time

Answers

Answer:

standard form: = -3x7 + y^2 = 12 - x^2

Step-by-step explanation:

42 % of what number is .21

Answers

Answer:

0.5

Step-by-step explanation:

0.21=42%

0.21/42=1%

0.005=1%

0.005 x 100 = 100%

0.5=100%

0.5

PLEASE HELP i have to turn this at the end of the day! PLEASE DONT GUESS! :)

Answers

Answer:

x = 13, z = 184

Step-by-step explanation:

(14x-94) = 88

14x = 182

x = 13

z = 360 - 88*2 = 360 - 176 = 184

Answer:

x = 13; z = 92

Step-by-step explanation:

88 = 14x - 94

14x = 182

x = 13

180 = z + 88

z = 92

Look at the picture

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

When angles are between the parallel lines, they are called interior. If they are both on the same side of the transversal, they are "same-side interior."

If angles are on opposite sides of the transversal, they are exterior.

If angles are in the same direction from the intersection point, they are corresponding.

Angles in opposite directions from the point of intersection are vertical angles.

  same-side interior: {3, 5} and {4, 6}. (supplementary)

  same-side exterior: {1, 7} and {2, 8}. (supplementary)

  alternate interior: {3, 6} and {4, 5}. (congruent)

  alternate exterior: {1, 8} and {2, 7}. (congruent)

  corresponding: {1, 5}, {2, 6}, {3, 7}, {4, 8}. (congruent)

  vertical: {1, 4}, {2, 3}, {5, 8}, {6, 7}. (congruent)

Angles 6 and 4 are same-side interior angles; their sum is 180°.

Simplify.
Rewrite the expression in the form 4^n.
4^8
4^3

Answers

1024 i hope its the answer

I NEED HELP PLEASE PLEASE HELP ME I WILL THANK YOU A LOT

Answers

Answer:

$8.50

Step-by-step explanation:

First, you would look at all the prices. If you have 8 tickets and they cost $62 after discount, what is the discount amount? That is 75 cents. Then, you would divide $62 by 8 tickets to get the price of each ticket. That would be $7.75 for each ticket. You would then add the discount of 75 cents to get the original price of $8.50 for each ticket.

What is the slope for a linear function that includes the points (2, -1) and (1, 1).
A. 2.
B. -2
C. 1/2
D. -1/2




PLZ HELP HURRY

Answers

B

If you need an explanation let me know!

Help me out! Answer? Anyone??

Answers

Answer: C and D.

Step-by-step explanation: The pictures show the work. So sorry about the delay -- my computer wasn't letting me type formulas, so I hand-wrote. If you have questions, let me know and I'd be happy to clarify, and if the pictures are sideways, use the rotate button at the top right.

On Monday, a local hamburger shop sold a combined total of 276 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Monday?

Answers

92 hamburgers were sold
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