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Question
If nCr+ nCr+1= n+1Cx, then x =
If nCr+ nCr+1= n+1Cx, then x =
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Solution
The correct option is D r + 1
r+1 nCr+ nCr+1= n+1Cx, [Given]
We have :
nCr+ nCr+1= n+1Cx[∵ nCr+ nCr−1= n+1C1]⇒ n+1Cr+1= n+1Cx⇒r+1=x[∵ nCr= nCy⇒n=x+y or x=y]
r + 1
r+1 nCr+ nCr+1= n+1Cx, [Given]
We have :
nCr+ nCr+1= n+1Cx[∵ nCr+ nCr−1= n+1C1]⇒ n+1Cr+1= n+1Cx⇒r+1=x[∵ nCr= nCy⇒n=x+y or x=y]
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