There are three rooms in a Hotel: one single, one double and one for four persons. How many ways are there to house seven persons in these rooms ?

There are three rooms in a Hotel: one single, one double and one for four persons. How many ways are there to house seven persons in these rooms ? Correct Answer 105

Choose 1 person for the single room & from the remaining choose 2 for the double room & from the remaining choose 4 people for the four person room, 

 Then, 7C1 x 6C2 x 4C4 

= 7 x 15 x 1 = 105

Bissoy MCQ

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