Consider three boxes, each containing 10 balls labelled 1, 2, …..… - Vidyadip

MCQ

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:

✓
$120$
B
$82$
C
$240$
D
$164$

✓

Answer

Correct option: A.

$120$

a
the number of ways in which the balls can be chosen is $^{10}C_3 = 120$

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