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Question: 2015 Winter Midterm - 2

Author: Michiel Smid
Let $A$ be a set of 7 elements and let $B$ be a set of 15 elements. How many functions $f : A \rightarrow B$ are there?
(a)
${15 \choose 7}$
(b)
$7^{15}$
(c)
$15^7$
(d)
$15!/7!$