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Question -

If 18Cx = 18Cx + 2,find x.



Answer -

We know that if nCp = nCq,then one of the following conditions need to be satisfied:

(i) p = q

(ii) n = p + q

So from thequestion 18Cx = 18Cx + 2,we can say that

x ≠ x + 2

So, the condition (ii)must be satisfied,

18 = x + x + 2

18 = 2x + 2

2x = 18 – 2

2x = 16

x = 16/2

= 8

 The value of xis 8.

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