NTA Abhyas JEE Main2020MathematicsBinomial TheoremPractice

The coefficient of x 24 in 1 + x 2 12 1 + x 12 1 + x 24 is

Options

AC 12 6 + 3
BC 12 6 + 1
CC 12 6
DC 12 6 + 2

Correct answer

D. C 12 6 + 2

Step-by-step solution

1 + x 2 12 1 + x 12 + x 24 + x 36 = 1 + x 12 + x 24 + x 36 1 + C 1 12 x 2 + C 2 12 x 4 + … + C 11 12 x 22 + C 12 12 x 24 Coefficient of x 24 in the product is, C 12 12 + C 12 6 + 1 = 1 + C 12 6 + 1 = C 12 6 + 2

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