Q. 173.5( 4 Votes )

For all positive

Answer :

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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