(30 0) (30 10) - (30 1) (30 11) + ..... + (30 20) (30 30) is equal to

Question

\(\binom{30}{0} \binom{30}{10 }-\binom{30}{1}\binom{30}{11} + ....+\binom{30}{20} \binom{30}{30} \) is equal to

(a) ³⁰C₁₁

(b) ⁶⁰C₁₀

(c) ³⁰C₁₀

(d) ⁶⁵C₅₅

Answer 1

Correct option is (c) ³⁰C₁₀