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NTA Abhyas JEE Main2020MathematicsBinomial TheoremPractice

The coefficient of x 48 in the expansion of 1 + x 4 12 1 + x 24 1 + x 48 is

Options

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

Correct answer

D. C 12 6 + 2

Step-by-step solution

Given expansion is 1 + x 24 + x 48 + x 72 C 12 0 + C 12 1 x 4 + … + x 48 Coefficient of x 48 = 1 + C 12 6 + 1 = C 12 6 + 2

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