1 .
Consider 17-element subsets of the set $\{1,2,3,\dots,45\}$.
How many such subsets have the property that the largest element in the subset is equal to 30?
How many such subsets have the property that the largest element in the subset is equal to 30?
(a)
${{29}\choose{16}}$
(b)
${30 \choose 16}$
(c)
${30 \choose 17}$
(d)
${29 \choose 17}$