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JEE MATHEMATICS MCQ: COMBINATIONS

1 Easy

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Analyzing +4 | -1

The coefficient of

{x^{18}}

in the product

\left( {1 + x} \right){\left( {1 - x} \right)^{10}}{\left( {1 + x + {x^2}} \right)^9}

is

View answer and explanation

Correct option: A

84

Option A (84) is correct because it is the coefficient of x¹⁸ after simplifying the product using the difference of cubes factorization.

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n