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Question

In the expansion of (1+x)n the coefficients of pth and (p+1)th terms are respectively p and q then p+q=

A
n
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B
n+1
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C
n+2
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D
n+3
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Solution

The correct option is B n+1
Binomial Coefficient of pth term nCp1=p
Binomial Coefficient of (p+1)th term nCp=q
Therefore, with respect to the above question.
nCp1nCp=pq
n!(np)!p!n!(np+1)!(p1)!=pq
pnp+1=pq
np+1=q
n=p+q1
n+1=p+q
Hence answer is n+1

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