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Question

# A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a selection?

Solution

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In order to solve this equation, we need to use the formula for the number of combinations, $_nC_r$ of $n$ things taken $r$ at a time.

$_nC_r=\dfrac{n!}{(n-r)!r!}$

Based on the problem, we have $n=40$ which represents the total number of available books and $r=8$ which represents the number of books a member can avail.

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