# For all positive

Given that we need to prove .

Consider L.H.S:

We know that nCr + nCr + 1 = n + 1Cr + 1

2nCn + 2nCn – 1 = 2n + 1Cn

We know that

And also n! = n(n – 1)(n – 2)…………2.1

= R.H.S

L.H.S = R.H.S, thus proved.

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