Among the Natural no.s {1,2,3,.....23,24,25},in how many ways we can draw 11 no.s so that no two of them are consecutive?

to draw 11 no from 25 = ^{25 C ₁₁}  (Eq. 1)

to draw 2 consecutive no., the no. of ways required = 24 (because u can pick 1,2  2,3  3, 4 like this upto 24, 25 )

no. of ways to draw 11 no with no consecutive no.  = Eq.1 - 24

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