Hi there! I was working on my homework when I came across two particularly difficult problems. Help would be appreciated!
In how many ways can I distribute 6 identical gummy bears and 6 identical chocolates to 4 students, if each student must receive at least 1 of each type of candy?
In how many ways can I distribute 6 identical gummy bears and 6 identical chocolates to 4 students, if each student must receive exactly 3 pieces of candy?
I can do this!
1) In how many ways can I distribute 6 identical gummy bears and 6 identical chocolates to 4 students, if each student must receive at least 1 of each type of candy?
By stars and bars, the number of ways is c(8,3)*c(8,3) = 3136.
2) In how many ways can I distribute 6 identical gummy bears and 6 identical chocolates to 4 students, if each student must receive exactly 3 pieces of candy?
By stars and bars, this is c(14,4) = 1001.
