The coefficient of x^r[0lt=rlt=(n-1)] in...

The coefficient of `x^r[0lt=rlt=(n-1)]` in lthe expansion of `(x+3)^(n-1)+(x+3)^(n-2)(x+2)+(x+3)^(n-3)(x+2)^2++(x+2)^(n-1)` is `^n C_r(3^r-2^n)` b. `^n C_r(3^(n-r)-2^(n-r))` c. `^n C_r(3^r+2^(n-r))` d. none of these

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The correct Answer is:

`""^(n)C_(r) (3^(n-r) - 2^(n-r)) `

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