olymmath

CN-TST 2017 Problem 19

  • Test 4

Prove that : ∑k=058C2017+k58−kC2075−kk=∑p=029C4091−2p58−2p\sum_{k=0}^{58}C_{2017+k}^{58-k}C_{2075-k}^{k}=\sum_{p=0}^{29}C_{4091-2p}^{58-2p}

Dataset text AI-MO AoPS. Quoted with source.

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