Combinatorial Proof : C(2n,2) = 2*C(n,2) + n^2 | Combinatorial Proofs-3

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In this video, we discuss the combinatorial proof for why 2n choose 2 is same as 2 * n choose 2 + n square. A combinatorial proof is given for the identity C(2n,2) = 2*C(n,2) + n^2 .

  1. Learn with Sreyas
  2. learn with sreyas
  3. discrete maths
  4. combinatorics
  5. combinatorial proof
  6. counting arguments
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Thank you for this video! understood it perfectly thanks to you

rachel_yeah
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I thing, for all n can explain to 2*C(n+1, 2)

victoryaldasetiawan
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Can you prove that n! = sum(C(n, j)*j^(n)*(-1)^(n-j)) from j=0 to n

lamalamalex