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  • In how many ways can a book club select a reading list of 6 books from a shelf containing 11 different books?  Option: 1 642

In how many ways can a book club select a reading list of 6 books from a shelf containing 11 different books?

 

Option: 1

642


Option: 2

462


Option: 3

822


Option: 4

720


Answers (1)

best_answer

To calculate the number of ways a book club can select a reading list of 6 books from a shelf containing 11 different books, we can use combinations.

The number of ways to select 6 books from 11 can be calculated as \mathrm{C(11,6)}, which represents "11 choose 6." It can be calculated as:
 

\mathrm{C(11,6)=11 ! /(6 ! \times(11-6) !)=11 ! /(6 ! \times 5 !)=(11 \times 10 \times 9 \times 8 \times 7) /(6 \times 5 \times 4 \times 3 \times 2 \times 1)=462}.

Therefore, there are 462 ways for the book club to select a reading list of 6 books from a shelf containing 11 different books.

 

Posted by

Riya

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