In how many ways can 16 different gifts be divided among four children such that each child receives exactly four gifts?  Choose the correct choice from the following answers
A) 16^4 B) (4!)^4 C) 16!/(4!)^4 D) 16!/4! E) 4^16
Total 16 different Gifts, and 4 children.   Thus any one child gets 16C4 gifts,   then the other child gets 12C4 gifts(16 total - 4 already given),   then the third one gets 8C4 gifts,   and the last child gets 4C4 gifts.   Since order in which each child gets the gift is not imp, thus, ans :   1616!/(4!)^44 * 1216!/(4!)^44 * 816!/(4!)^44 * 416!/(4!)^44 = 16! / (4!)^4   Ans : 16!/(4!)^4.
<result>C</result>
In how many ways can 16 different gifts be divided among four children such that each child receives exactly four gifts?