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JEE Main20205 Sep 2020Evening ShiftMathematicsBinomial TheoremActual

The coefficient of x 4 in the expansion of 1 + x + x 2 + x 3 6 in powers of x , is … . .

Correct answer

120

Step-by-step solution

1 + x + x 2 + x 3 6 = 1 + x 6 1 + x 2 6 Coefficient of x 4 = C 4 6 + C 2 6 · C 1 6 + C 2 6 = 15 + 15 · 6 + 15 = 120 .

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