Consider three boxes, each containing 10 balls labelled 1,2,....,10. Suppose one ball is randomly drawn from each of the boxes. Denote by n i , the label of the ball drawn from the i th box, (i = 1, 2, 3). Then, the number of ways in which the balls can be chosen such that n 1 < n 2 < n 3 is :
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Sol. 10 C 3 is number of ways of selecting 3 numbers from 1 to 10. Let us consider one such case : (2,5,6) then 2 would be picked from B 1 , 5 from B 2 & 6 from B 3
hence 10 C 3 = 120
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