Compute the number of ways you can select n elements from N elements for each of the following: a. n , N= 2 = 8 b. n , N= 5 = 7 c. n , N= 4 = 20 a. way(s) (Simplify your answer.) b. way(s) (Simplify your answer.) c. way(s) (Simplify your answer.

Compute the number of ways you can select n elements from N elements for each of the following: a. n , N= 2 = 8 b. n , N= 5 = 7 c. n , N= 4 = 20 a. way(s) (Simplify your answer.) b. way(s) (Simplify your answer.) c. way(s) (Simplify your answer.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...

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Question

Compute the number of ways you can select n elements from N elements for each of the following:
a. n , N= 2 = 8
b. n , N= 5 = 7
c. n , N= 4 = 20
a. way(s)
(Simplify your answer.)
b. way(s)
(Simplify your answer.)
c. way(s)
(Simplify your answer.

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Step 1: Given information:

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Step 2: Define binomial coefficient:

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Step 3: Compute number of ways 2 can be selected from 8:

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Step 4: Compute number of ways 5 can be selected from 7:

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Step 5: Compute number of ways 4 can be selected from 20:

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