Consider three boxes,each containing 10 balls | vedclass

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(A) We are given three boxes,each containing $10$ balls labeled $1, 2, dots, 10$.We draw one ball from each box,denoted by $n_1, n_2, n_3$.We need to

Vedclass · Accepted Answer

$120$

Vedclass · Answer

(A) We are given three boxes,each containing $10$ balls labeled $1, 2, dots, 10$.We draw one ball from each box,denoted by $n_1, n_2, n_3$.We need to find the number of ways to choose these balls such that $n_1 Since the condition $n_1 Once any $3$ distinct balls are chosen,there is only $1$ unique way to arrange them in increasing order to satisfy $n_1 Therefore,the number of ways is given by the combination formula $^{10}C_3$.$^{10}C_3 = \frac{10 	imes 9 	imes 8}{3 	imes 2 	imes 1} = 10 	imes 3 	imes 4 = 120$.

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