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The number of terms in the expansion of ...

The number of terms in the expansion of `(a+b+c)^n , where n in Ndot`

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Given expansion is `(x + y + z)^(n) = [x + (y + z)]^(n)`
`[x + (y + z)]^(n) = .^(n)C_(0) x^(n) + .^(n)C_(1) x^(n - 1) (y + z)`
`+ .^(n)C_(2) x^(n - 2) (y + z)^(2) + .... + .^(n)C_(n) (y + z)^(n)`
`:.` Number of terms `= 1 + 2 + 3 + .... + n + (n + 1)`
`= ((n + 1)(n + 2))/(2)`
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