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The number of terms in the expansion of ${(x_{1} + x_{2} + . . . . . . + x_{r})}^{n}$ is

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n+1Cr

n+r−1Cr−1

n+r+1Cr+1

n+r−1Cr

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detailed solution

Correct option is B

(x1+x2 +......+xr)n no of terms=n+r−1Cr−1

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The number of terms in the expansion of (x1+x2 +......+xr)n is

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The number of terms in the expansion of ${(x_{1} + x_{2} + . . . . . . + x_{r})}^{n}$ is