Find the number of terms in the expansions of the following: `\ (2x+3y-4z)^n`

Explanation

Number of dissimilar terms in the expansion of `(x_1+x_2+x_3+......+x_r)^n`
is
`(n+r−1)_(C_n)`

​So in `(2x+3y+z)^n`
, we have `r=3` and `n=n`

Thus number of terms in the expansion of `(2x+3y+z)^n`
is

`(n+3−1)_(C_n)`
...