There are three rooms in a motel: one single, one double and one for four persons. How many ways are there to house seven persons in these rooms ?  Pick one:
A) 7! / 1! 2! 3!  B) 7!  C) 7! / 3  D) 7! / 3!  E) 7! / 4
Choose 1 person for the single room &amp; from the remaining choose 2 for the double room &amp; from the remaining choose 4 people for the four person room,   Then, 7C1 x 6C2 x 4C4 = 7! / 1! 2! 3!   7! / 1! 2! 3!NSWER:7! / 1! 2! 3!
<result>A</result>
There are three rooms in a motel: one single, one double and one for four persons. How many ways are there to house seven persons in these rooms ?