In a hotel, four rooms are available. Six persons are to be accommodated in these four rooms in such a way…

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_____

Solution

6 persons can be distributed in 4 rooms in the group of 1,1,2,2 by 6!1!1!2!2!2!2!×4!=720×2416=1080.

Asked in: JEE Advanced 2020 (Paper 2)

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