If the sum of the co-efficient in the expansion of $(a + b)^{n}$ is $1024$ , then the greatest co-efficient in the expansion is

252

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352

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452

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552

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Solution

The correct option is B $252$
Sum of coefficient in the expansion of $(a + b)^{n}$ is $1024$
put $a = b = 1, 2^{n} = 1024 ⟹ n = 10$
The greatest coefficient is $^{10} C_{5} = 252$

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If the sum of the co-efficient in the expansion of (a+b)n is 1024, then the greatest co-efficient in the expansion is

The correct option is B 252Sum of coefficient in the expansion of (a+b)n is 1024put a=b=1,2n=1024⟹n=10The greatest coefficient is 10C5=252

If the sum of the co-efficient in the expansion of $(a + b)^{n}$ is $1024$ , then the greatest co-efficient in the expansion is

The correct option is B $252$
Sum of coefficient in the expansion of $(a + b)^{n}$ is $1024$
put $a = b = 1, 2^{n} = 1024 ⟹ n = 10$
The greatest coefficient is $^{10} C_{5} = 252$