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MathsMediumMCQ2022 · 28 Jun Shift 1

Q63.If ∑31k=1(31Ck)(31Ck−1) −∑30k=1(30Ck)(30Ck−1) = (30!)(31!)α(60!) , where (1) 1411 (2) 1320 (3) 1615 (4) 1855 + y2 −2x −4y = 0 intersect at

What This Question Tests

The question requires applying standard identities for the summation of products of binomial coefficients to simplify the given expression.

Concepts Tested

Binomial coefficients identitiesSummation of binomial products

Formulas Used

Σ(nCk)(nC(r-k)) = (2n)Cr

Σ(nCk)(nC(n-k)) = (2n)Cn

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