1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga nikolaevna [1]
3 years ago
13

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
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
5 0

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

You might be interested in
one week 72 people got a speeding ticket. the next week only 36 people got a speeding ticket. what is the percent of change in s
Ierofanga [76]
50% is the answer im just adding words now so it will go in
8 0
3 years ago
Lolita deposited 500 in her savings account that earns 5% intrest compounded anually. She forgot about it until now, 15 years la
Sonja [21]

Answer:

P = 1039.5

Step-by-step explanation:

Given:-

- The initial amount deposited, Po = 500

- The interest rate applied, I = 5% compounded annually

Find:-

- The amount on her bank statement after 15 years?

Solution:-

- We see that the principal amount increases every year and no transactions have been made in the course of 15 years.

The total amount left in her savings account would be given by the following formula:

                         P = Po * ( 1 + I/100 )^n

- Where, n = number of years passed since deposit. (15 years)

                        P = 500 * ( 1 + 5/100 )^15

                        P = 500 * (1.05)^15

                        P = 1039.5  

6 0
2 years ago
What is the measure of y
aleksklad [387]
155

Just add the angles up.
7 0
2 years ago
Subtract the following polynomials, then place the answer in the proper location on the grid.
adelina 88 [10]

Answer:

3x^{2}-5x+12-(5x^{2}+x-11)=-2x^{2}-6x+23

7 0
3 years ago
When a survey was conducted among 100 students to find their favorite pizza topping, 45 students voted for pepperoni, 25 for mus
amm1812

Answer:

The central angle for the cheese sector would be 108 degrees.

Step-by-step explanation:

We know that a pi chart takes the form of a circle so the total angle measure is 360 degrees.

Now we want to find out what ratio of the pie chart that cheese takes up and apply it to the total degree measure.

30 of 100 students voted for cheese:

so the ratio would be 30/100 or 3/10

Now apply that to the total angle measure:

3/10*360 degrees= 108 degrees.

4 0
3 years ago
Other questions:
  • Answers for topic 2 lesson 6
    13·1 answer
  • 1.What role did Enlightenment ideas play in the development of the United States? Give at least two examples to support your ans
    15·1 answer
  • What is 0.8224 divided by 0.04
    11·1 answer
  • Help me find the value of x!!!
    9·1 answer
  • Which relation is a function?
    13·1 answer
  • What type of angles are 1 & 2
    10·1 answer
  • Check all that apply
    9·1 answer
  • Find the LCD (least common denominator) of the set of fractions. Do not combine the fractions; only find the LCD.
    10·1 answer
  • Can someone help me on this math question?
    13·2 answers
  • the manager of a six screen movie theater was analyzing the tick sales data for monday through friday of the last week. there we
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!