MathsJEE Main 2 Apr 2026, Shift 2·Q6·MCQ·Easy–moderate

Permutations & Combinations · Properties of binomial coefficients

If for

3 \le r \le 30

\left({}^{30}C_{30-r}\right) + 3\left({}^{30}C_{31-r}\right) + 3\left({}^{30}C_{32-r}\right) + \left({}^{30}C_{33-r}\right) = {}^{m}C_{r},

then

m

equals:

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