SOLUTION: In how manys ways can 4 pennies, 5 nickels and 3 dimes be distributed among 12 children, if each is to receive one coin..

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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) About Me  (Show Source):
You can put this solution on YOUR website!


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

12%21%2F%28%284%21%29%285%21%29%283%21%29%29+=+27720