There are three rooms for #10# students, one with #3# beds, one with #2# beds and one with #5# beds. in how many ways can the #10# students be assigned to the three rooms so that each has a bed?
1 Answer
Jun 3, 2017
Explanation:
If we counted each way the
However, note that we are not interested in which individual bed each student gets - only which room.
For each assignment of students to rooms, there are
Hence the number of different possible assignments to rooms is:
#(10!)/(3!2!5!) = 3628800/(6*2*120) = 2520#