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JEE Advanced 2015Paper 2

Exam: JEE Advanced
Year: 2015
Paper: Paper 2
Subject: Mathematics
Chapter: Binomial Theorem

JEE Advanced 2015 · Paper 2 · Mathematics · Binomial Theorem

The coefficient of x ^ 9 in the expansion of (1 + x) (1 + x ^ 2 )...

The coefficient of

{x}^{9}

in the expansion of \left(1 + x\right) \left(1 + {x}^{2}\right) \left(1 + {x}^{3}\right) \ldots \ldots \left(1 + {x}^{100}\right) is

Correct answer

8

Step-by-step solution

\left(1 + x\right)\left(1 + {x}^{2}\right) \ldots . ( 1 + {x}^{100} )

Possible combination of 9 are (0, 9), (1, 8), (2, 7), (3, 6), (4, 5), (1, 2, 6), (1, 3, 5), (2, 3, 4)
So, coefficient = 8.

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