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  • In how many ways can a book club select a reading list of 5 books from a shelf containing 10 different books?  Option: 1 40,640</d

In how many ways can a book club select a reading list of 5 books from a shelf containing 10 different books?

 

Option: 1

40,640


Option: 2

16,600


Option: 3

26,400


Option: 4

90,720


Answers (1)

best_answer

To calculate the number of ways a book club can select a reading list of 5 books from a shelf containing 10 different books, we can use combinations.

The number of ways to select 5 books from 10 can be calculated as \mathrm{C(10,5)}, which represents "10 choose 5." It can be calculated as:
 

\mathrm{C(10,5)=10 ! /(5 ! \times(10-5) !)=10 ! /(5 ! \times 5 !)=(10 \times 9 \times 8 \times 7 \times 6) /(5 \times 4 \times 3 \times 2 \times 1)=252}.
Therefore, there are 252 ways for the book club to select a reading list of 5 books from a shelf containing 10 different books.

Posted by

Ajit Kumar Dubey

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