If ^ 24 C_x = ^ 24 C_ 2x+3 , Find x. - Vidyadip

Question

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

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Answer

We have,
If $^nC_p =\ ^nC_q = n$
Then $p + q = n$
Also,
$x + 2x + 3 = 24$
$3x = 21$
$x = 7$

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