SOLUTION: How many ways are there to divide 6 students into a group of 3 students, a group of 2 students, and a group of 1 student, so that no student is in more than one group?

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Question 1140302: How many ways are there to divide 6 students into a group of 3 students, a group of
2 students, and a group of 1 student, so that no student is in more than one group?

Answer by ikleyn(52805) About Me  (Show Source):
You can put this solution on YOUR website!
.

You can choose, first, the set of 3 students among 6 of them in  C%5B6%5D%5E3 = %286%2A5%2A4%29%2F%281%2A2%2A3%29 = 20 ways.

You then can choose the set of 2 students among the remaining 3 = 6-3 students in  C%5B3%5D%5E2 = 3 ways.


And after that, you just have no any choice for the remained 1 = 6 - 3 - 2 student.



In all, you have  20*3 = 60 ways to do what is assigned.    ANSWER

Solved, answered, explained and completed.