Q.

Consider three boxes, each containing 10 balls labeled 1, 2... 10. Suppose one ball is randomly drawn from each of the boxes. Denote by ni, the label of the ball drawn from the   ithbox, i=1,2,3. Then the number of ways in which the balls can be chosen such that n1<n2<n3 is:

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a

120

b

240

c

164

d

82

answer is B.

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Detailed Solution

Selection of 3 balls out of 10 balls=10C3
Number n1<n2<n3 accordingly
=10.9.83.2.1=120

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