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  4. If the number of terms in the expansion of (x+y+z)n are 36, then the value of n is

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Q. If the number of terms in the expansion of $(x+y+z)^{n}$ are $36$, then the value of $n$ is

Binomial Theorem

Solution:

Number of terms in the expansion of $(x+y+z)^{n}$ is $(n+1)(n+2) / 2=36$
or $(n+1)(n+2)=72$
or $ n=7$