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 numbe

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_____

TestHub · Accepted Answer

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 × 24 16 = 1080 .

Mathematics - Permutation & Combination Question with Solution | TestHub

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