If $^nC8 = ^nC2$, find the value of $n$.

Question

Accepted Answer

We know the property of combinations: if $^nCa = ^nCb$, then either $a = b$ or $n = a + b$. Here, $8 
eq 2$, so we must have $n = 8 + 2 = 10$. Therefore, option B is correct.

Permutations and Combinations

❓ Sibling Questions in this Chapter