Question

There are 11 freshmen, 3 sophomores, and 21 juniors. 1. Possible number of ways to arrange...

There are 11 freshmen, 3 sophomores, and 21 juniors.

1. Possible number of ways to arrange all students so all freshmen are together or all juniors are together?

2. Possible number of ways to arrange all students so it starts with a freshman and ends with a sophomore?

3. Possible number of ways to arrange all students so juniors are not all separated from each other? (so there are at least two juniors who are next to each other)

4. Possible number of ways to choose a group of 9 students that includes at most 4 juniors?

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