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If number of terms in the expansion of `(x -2y +3z)^n` are 45, then n is equal to

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`(x-2y+3z)^(n)`
`[x+(-2y+3z)]^(n)`
`=x^(n)+^(n)C_(1)x^(n-1)(-2y+3z)`
`+^(n)C_(2).x^(n-2)(-2y+3z)^(2)+.....`
`+^(n)C_(n)(-2y+3z)^(n)`
Total numbers of terms `=1+2+3+……+(n+1)`
`(n+1)/(2)(1+n+1)`
`((n+1)(n+2))/(2)`
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