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  4. If 10 C x= 10 C x+4, then the value of x is

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Q. If ${ }^{10} C _{x}={ }^{10} C _{x+4}$, then the value of $x$ is

Permutations and Combinations

Solution:

We have ${ }^{10} C _{x}={ }^{10} C _{x+4}$
$\Rightarrow x+x+4=10$
$ \Rightarrow 2 x=6 $
$\Rightarrow x=3$