There are only 4 empty rooms available in a student dormitory for eleven new freshmen. All the rooms are considered as homogenous so that it does not matter who is being assigned to which room. How many different ways can those 4 empty rooms be filled one student per room?
Added by William V.
Step 1
We need to choose 4 students out of 11 to fill the rooms. This can be done in 11C4 ways. 11C4 = 11! / (4!(11-4)!) = 330 ways. Then, we need to assign these 4 chosen students to 4 rooms. Since the rooms are homogenous, it does not matter who is being assigned to Show more…
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