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In the binomial expansion of (1+a)^{m+n}, if the coefficients

Question

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

m A = n B

n A = m B

A

and

B

cannot be related.

A = B

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Scarlett Discussed

In the binomial expansion of

(1 + a)^{m + n}

, if the coefficients of

a^{m}

and

a^{n}

are

A

and

B

respectively, then

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

Given expansion is

(1 + a)^{m + n}

The coefficient of

a^{m}

(m + n m)

The coefficient of

a^{n}

(m + n n)

∴ A = B

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Question Text	In the binomial expansion of $(1 + a)^{m + n}$ , if the coefficients of $a^{m}$ and $a^{n}$ are $A$ and $B$ respectively, then
Answer Type	Text solution:1
Upvotes	150