Permutations And Combinations Question 223

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 $ 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

Solution:

Answer: 120