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  4. Statement-1: Numerically greatest coefficient in the expansion of (1+5 x)8 is 8 C 4 ⋅ 54. Statement-2: Greatest coefficient in the expansion of (1+x)2 n is the middle term.

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Q. Statement-1: Numerically greatest coefficient in the expansion of $(1+5 x)^8$ is ${ }^8 C _4 \cdot 5^4$.
Statement-2: Greatest coefficient in the expansion of $(1+x)^{2 n}$ is the middle term.

Binomial Theorem

Solution:

Correct answer is (d) Statement-1 is false, statement-2 is true..