Mathematics · 2019
JEE Main · 12 January 2019, Shift 1 · Q66
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…
Consider three boxes, each containing $\displaystyle 10$ balls labelled $\displaystyle 1$, $\displaystyle 2$, .... , 10. Suppose one ball is randomly drawn from each of the boxes. Denote by $\displaystyle \mathrm{n}_i$, the label of the ball drawn from the $\displaystyle i^{\text {th }}$ box, $\displaystyle (i=1,2,3)$. Then, the number of ways in which the balls can be chosen such that $\displaystyle \mathrm{n}_1<\mathrm{n}_2<\mathrm{n}_3$ is :
Official answer
(1)
$\displaystyle 120$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.