Larry, Michael, and Peter have five donuts to share. If any one of the men can be given any whole number of donuts from 0 to 5, in how many different ways can the donuts be distributed?  Choose the correct option.
A) 21 B) 42 C) 120 D) 504 E) 5040
Larry, Michael, and Peter have five donuts to share.to get the answer, see how can we get sum5with 3 numbers.   1) 0,0,5 = 3 combinations or 3! /2!   2) 0,1,4 = 6 combinations or 3!   similarly   3) 0,2,3 = 6 combinations   4) 1,1,3 = 3 combination   5) 2,2,1 = 3 combination   total =21=21
<result>A</result>
Larry, Michael, and Peter have five donuts to share. If any one of the men can be given any whole number of donuts from 0 to 5, in how many different ways can the donuts be distributed?