If $^{n}C{9} = ^{n}C{8}$, then the value of $n$ is:

Question

Accepted Answer

We know the property of combinations: $^{n}C{x} = ^{n}C{y}$ implies either $x = y$ or $n = x + y$. Here, $9 
eq 8$, so $n = 9 + 8 = 17$. Thus, option D is correct.

Permutations and Combinations

❓ Sibling Questions in this Chapter