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Coefficient of x^15 in (1+ x + x^3+ x^4)...

Coefficient of `x^15` in `(1+ x + x^3+ x^4)^n` is

A

A. `sum_(r=0)^(5) ""^(n)C_(5-r) *""^(n)C_(3r)`

B

B. `sum_(r=0)^(5) ""^(n)C_(5r) `

C

C. `sum_(r=0)^(5) ""^(n)C_(2r) `

D

D. `sum_(r=0)^(5) ""^(n)C_(3-r) *""^(n)C_(5r)`

Text Solution

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The correct Answer is:
a
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