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In the binomial expansion of $(1 + a)^{m + n}$ $n,$ if the coefficients of $a^{m}$ and $a^{n}$ are $A$ and $B$ respectively, then

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A =B

mA =nB

nA =mB

A =2B

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detailed solution

Correct option is A

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

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Ready to Test Your Skills?

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In the binomial expansion of $(1 + a)^{m + n}$ $n,$ if the coefficients of $a^{m}$ and $a^{n}$ are $A$ and $B$ respectively, then