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Number of Terms in Binomial Expansion

One of the te...

Question

One of the terms in the expansion of $(x + y)^{n}$ is $k x^{8} y^{13}$ . Find the number of terms in the expansion.

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Solution

In the expansion of $(x + y)^{n}$ , the sum of powers of x and y is equal to n.
$\Rightarrow n = 21$
The number of terms in the expansions is (n+1)=22

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