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In how many ways, 12 balls can be divided between two boys, one receiving 5 and the other 7 balls?

A) 1784
B) 1584
C) 1854
D) 1560

Correct Answer:


B) 1584

Description for Correct answer:
Here, order is important, then the number of ways in which 12 different balls can be divided between two boys who receives 5 and 7 balls respectively is = \( \large\frac{12!}{5!7!}\times 2! = 1584 \)

Part of solved Permutation and combination questions and answers : >> Aptitude >> Permutation and combination

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