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Question

The value of the expression k1Ck1+kCk1+....n+k2Ck1 is given by :

A
n+k1Ck1
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B
n+k1Ck
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C
n+kCk
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D
None of these
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Solution

The correct option is B n+k1Ck
We know,
nm=kmCr= n+1Cr+1
According to the question,
m=n+k2
r=k1
Sum of series is given by
= m+1Ck+1 = n+k1Ck

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