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JEE Main20199 Jan 2019Evening ShiftMathematicsBinomial TheoremActual

The coefficient of t 4 in the expansion of 1 - t 6 1 - t 3 is

Options

  1. A10
  2. B14
  3. C15
  4. D12

Correct answer

C. 15

Step-by-step solution

1 - t 6 1 - t 3 = 1 - t 6 3 1 - t - 3 = 1 - t 18 - 3 t 6 + 3 t 12   1 - t - 3 ∴ Co-efficient of t 4 = 1 ×   3 + 4 - 1 C 4 =   6 C 4 = 15

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