Question

The total number of terms in the expansion of ${\left(x+a\right)}^{100}+{\left(x-a\right)}^{100}$ after simplification is
(a) 202
(b) 51
(c) 50
(d) none of these

Answer 1

(b) 51
Here, n, i.e., 100, is even.
∴ Total number of terms in the expansion =$\frac{n}{2}+1=\frac{100}{2}+1=51$