In how many ways, 12 balls can be divided between 2 boys,

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In how many ways, 12 balls can be divided between 2 boys, one receiving 5 and the other 7 balls ?

1. 1784
2. 1584
3. 1854
4. 1560
5. None of the above

Correct Option: B

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 = [12! / 5! 7! ] x 2! = 1584