First slide

Binomial theorem for positive integral Index

Question

$The greatest coefficient of (1 + x)^{10} is$

Moderate

A

$\frac{10!}{5! 6!}$
B

$\frac{10!}{{(5!)}^{2}}$
C

$\frac{10!}{5! 7!}$
D

None of these

Solution

Greatest coefficient=coefficient of middle term=coefficient of 6th
$term =^{10} C_{5} = \frac{10!}{(5!)^{2}}$

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