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virtualM,

Your equation suggests that each person works on both type of rooms in the same hour and this is not correct.

by rs123

Wed Jan 31, 2007 12:08 pm
Forum: Problem Solving
Topic: PS: Hotel rooms
Replies: 5
Views: 3619

It is simply

8C2 * 6C2 * 4C2 * 2C2 / 4!

8!/(2! * 2! * 2! * 2! * 4!)

8C2 * 6C2 * 4C2 * 2C2 means you keep on selecting 2 at a time. We need to divide by 4! because a combination like AB, CD, EF, GH could be permuated among itself in 4! ways.

HTH

by rs123

Tue Jan 30, 2007 9:00 am
Forum: Problem Solving
Topic: probability
Replies: 8
Views: 3659