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An interesting equality

Calcul the sum is a very interesting subject, so I present to you this one. Can you solve it ?:D

Prove that: \(\forall{n}\in{N}\), \(\displaystyle \sum_{i+j=n}C^i_n(i+1)^{i-1}(j+1)^{j-1}=2(n+2)^{n-1}\).

Note by Quan Dinh
4 years ago

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go with pmi i.e principal of mathematical induction Gagan Maheshwari · 4 years ago

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@Gagan Maheshwari Can you write it down more clearly? Thanks! Quan Dinh · 4 years ago

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