Q.

In the binomial expansion of (1+a)m+n n, if the coefficients of am and an are  A and B respectively, then

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a

A =B

b

mA =nB

c

nA =mB

d

A =2B

answer is A.

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Detailed Solution

In the binomial expansion of (1+a)n+n ,we have A = Coefficient of am=m+nCm=(m+n)!m!n!and ,B = Coefficient of an=m+nCn=(m+n)!m!n! Clearly, A = B.
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In the binomial expansion of (1+a)m+n n, if the coefficients of am and an are  A and B respectively, then