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Question

Consider three boxes, each containing 10 balls labelled 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 ith box, (i=1,2,3). Then, the number of ways in which the balls can be chosen such that n1<n2<n3 is :

A
82
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B
240
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C
164
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D
120
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Solution

The correct option is A 120
Number of ways=nC3=10C3
=10!7!3!
=10×9×83×2
=5×3×8=120 ways.

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