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Q. The number of terms in the expansion of $(x+y+z)^{10}$ is

Binomial Theorem

Solution:

Total number of terms in the expansion of $(x + y + z)^{10}$ is
$=\,{}^{10+3-1}C_{3-1} = \,{}^{12}C_{2}$
$= \frac{12\times11}{2}= 66$