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How to find the coefficient of x^9 in (1+x)(1+x^2)...(1+x^100) logic a lly?

How to find the coefficient of x^9 in (1+x)(1+x^2)...(1+x^100) logically?
 

Grade:12

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
5 years ago
1*x9,x2.x7,x4.x3.x2and so on.

if we find the number of ways 9 may be written as the summation of integers from the 1-9
. These are:

{9},
{1,8},
{1,2,6},
{1,3,5},
{2,7},
{3,6},
{4,5},
{2,3,4}.
There are 8 such terms.

ans8

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