Question:
If 18Cx = 18Cx + 2, find x.
Solution:
Given:
${ }^{18} C_{X}={ }^{18} C_{X}+2$
By using ${ }^{n} C_{x}={ }^{n} C_{y} \Rightarrow x=y$ or $n=x+y$ we get,
$18=x+x+2$
$\Rightarrow 2 x=16$
$\Rightarrow x=8$
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