Consider three boxes, each containing, 10 balls labelled 1, 2, ..., 10. Suppose one ball…

Mathematics · JEE Main · NTA ExamsPermutations and Combinations

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:
  1. 164
  2. 240
  3. 82
  4. 120

Answer

(A) 164

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