Question
If ${ }^{24} C_x={ }^{24} C_{2 x+3}$, Find $x$.

Answer

We have,
If ${ }^n C_p={ }^n C_q=n$
Then $p+q=n$
Also,
$x+2 x+3=24$
$3 x=21$
$x=7$

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