In how many ways can 12 different books be divided equally among 4 persons?

In how many ways can 12 different books be divided equally among 4 persons?
1). 300000
2). 360500
3). 369600
4). 423500

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Guest · Answer 1 · 2019-05-25 23:54:11

Each person will get 12 ÷ 4 = 3 books

Now, first person can be given 3 books out of 12 different books in ¹²C₃, ways. Second person can be given 3 books out of the rest (12 – 3 = 9) books in ⁹C₃ ways. Similarly, third person in ⁶C₃ and the fourth person in ³C₃ways

Required no. of ways = ¹²C₃ × ⁹C₃ × ⁶C₃ × ³C₃

_{$(\frac {12!}{3!9!}}

In how many ways can 12 different books be divided equally among 4 persons?

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