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Binomial Theorem — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsBinomial Theorem3 Marks
Question
If $^{18}C_x =\ ^{18}C_{x+2},$ Find $x.$
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Answer

We have, If $^nC_p =\ ^nC_q = n$
Then $p + q = n$
Also,$^{18}C_x =\ ^{18}C_{x+2}$
$\Rightarrow x + x + 2 = 18$
$2x + 2 = 18$
$2x = 18 - 2$
$2x = 16$
$x = 8$

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