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The cofficient of x^9 in the expansion of (1+x)(1+x^2)(1+x^3)......(1+x^100) is --------

The cofficient of x^9 in the expansion of (1+x)(1+x^2)(1+x^3)......(1+x^100) is --------

Grade:11

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
8 years ago
Dear Student,

coefficient of x^9 will be (1+1+1+1+1) = 5.

1 for x^9, 1 for x^8 * x, 1 for x^7 * x^2, 1 for x^6 * x^3, 1 for x^5 * x^4

Thanks.

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