Question 1152336: In how manys ways can 4 pennies, 5 nickels and 3 dimes be distributed among 12 children, if each is to receive one coin.. Answer by greenestamps(13209) (Show Source):
This is equivalent to asking for the number of different ways the 12 coins can be arranged in a line.
(Imagine the 12 children in a line. Each different arrangement of the 12 coins in a line represents a different way of distributing the coins to the children.)
That number, by a well-known counting principle, is