First slide

Combinations

Question

A library has $n$ different books and 3 copies of each of the $n$ books. The number of ways of selecting one or more books from the library is

Moderate

A

$4^{n} - 1$
B

$5^{n} - 1$
C

$2^{n} - 1$
D

$n^{3} - 1$

Solution

For each book we have four choices. We can choose 0, 1, 2 or 3 volumes of the book.

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