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  4. The number of terms in the expansion of (x+y+z)10 is

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

KCETKCET 2020Binomial Theorem

Solution:

Number of terms in the expansion of
$( x + y + z )^{10}$ is ${ }^{(10+3-1)} C _{10}$
$={ }^{12} C _{10}=12 ! /(2 ! 10 !)=66$