The coefficient of middle term in the expansion of $(1 + x)^{10}$ is

10!/ 5!6!

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10! / 5!^{2}

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10! 5! 7!

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None of these

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Solution

The correct option is B $10! / 5!^{2}$
$(1 + x)^{10}$
The middle term will be
$^{10} C_{5} x^{5}$
coefficient is $^{10} C_{5}$
$= \frac{10!}{5! 5!} = \frac{10!}{(5!)^{2}}$

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