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JEE Main20211 Sep 2021Evening ShiftMathematicsBinomial TheoremActual

If the sum of the coefficients in the expansion of ( x + y ) n is 4096 , then the greatest coefficient in the expansion is _____.

Correct answer

0

Step-by-step solution

Sum of coefficients of the expression ( x + y ) n is 2 n 2 n = 4096 = 2 12 ⇒ n = 12 Now greatest binomial coefficient of the expression ( x + y ) n is the middle term's coefficient so C 6 n = C 6 12 = 924

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