Consider three boxes, each containing 10 balls labelled 1,2,⋯,10. Suppose one ball is randomly drawn from each of the boxes. Denoted 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 :

Consider three boxes, each containing 10 balls labelled 1,2,⋯,10. Su

1.	Consider three boxes, each containing 10 balls labelled 1,2,⋯,10. Suppose one ball is randomly drawn from each of the boxes. Denoted 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 :
Answer» Consider three boxes, each containing $10$ balls labelled $1, 2, \dots, 10.$ Suppose one ball is randomly drawn from each of the boxes. Denoted by $n_{i},$ the label of the ball drawn from the $i^{t h}$ 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 :