JEE Advanced 2020 Mathematics question
In a hotel, four rooms are available. Six persons are to be accommodated in these four rooms in such a way that each of these rooms contains at least one person and at most two persons. Then the number of all possible ways in which this can be done is
Answer: 1080
Solution
With every room holding 1 or 2 persons and 6 persons in 4 rooms, the only possible occupancy is . Choose the two rooms that take two persons:
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