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  • In how many ways can a book club select a reading list of 7 books from a shelf containing 13different books?  Option: 1 1862

In how many ways can a book club select a reading list of 7 books from a shelf containing 13different books?

 

Option: 1

1862


Option: 2

1716


Option: 3

2640


Option: 4

5720


Answers (1)

To calculate the number of ways a book club can select a reading list of 7 books from a shelf containing 13 different books, we can use combinations.

The number of ways to select 7 books from 13 can be calculated as \mathrm{C(13,7)} ,which represents "13 choose 7." It can be calculated as:

\mathrm{C(13,7)=13 ! /(7 ! \times(13-7) !)=13 ! /(7 ! \times 6 !)=(13 \times 12 \times 11 \times 10 \times 9 \times 8 \times 7 !) /(7 ! \times 6 !)=1716}.

Therefore, there are 1716 ways for the book club to select a reading list of 7 books from a shelf containing 13 different books.

 

Posted by

Kshitij

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