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If the sum of the coefficients in the expansion of ${(x + y)}^{n}$ is 2048, then the greatest coefficient in the expansion is :

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11C6

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Correct option is B

Sum of the coefficients in the expansion of (x+y)nis 2n. Therefore, 2n=2048=211⇒n=11As n is odd, the greatest value of nCr is nCk wherek=12(n−1) or k=12(n+1)Here n=11, therefore k=5 or 6Thus, greatest coefficient is 11C6.

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If the sum of the coefficients in the expansion of (x+y)nis 2048, then the greatest coefficient in the expansion is :

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If the sum of the coefficients in the expansion of ${(x + y)}^{n}$ is 2048, then the greatest coefficient in the expansion is :