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  • How many ways can 8 books be selected from a shelf containing 15 different books?  Option: 1 6,435<div class='qna-option

How many ways can 8 books be selected from a shelf containing 15 different books?

 

Option: 1

6,435


Option: 2

6,600


Option: 3

4,400


Option: 4

6,720


Answers (1)

best_answer

To calculate the number of ways to select 8 books from a shelf containing 15 different books, we can use combinations.

The number of ways to select 8 books from 15 can be calculated as \mathrm{C(15,8)},  which represents "15 choose 8 ." It can be calculated as:
 

\mathrm{C(15,8)=15 ! /(8 ! \times(15-8) !)=15 ! /(8 ! \times 7 !)=(15 \times 14 \times 13 \times 12 \times 11 \times 10 \times 9) /(8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1)=6435 }.

Therefore, there are 6,435 ways to select 8 books from a shelf containing 15 different books.

 

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Rishabh

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