Posted by **joanna** on Monday, February 23, 2009 at 7:05pm.

the social convenor has 12 volunteers to work at a school dance. Each dance requires 2 volunteers at the door, 4 volunteers on the floor, and 6 floaters. Joe and Jim have not volunteered before so the soicial convenor does not want to assign them to work together. In how many ways can the volunteers be assigned?

the answer is 9240, but i dont understand how to get that, help please??!

- math - gr 12 -
**Reiny**, Monday, February 23, 2009 at 8:07pm
Break it up into 3 cases

1. Joe at the door, then 10 others at the door, C(10,4) on the floor, C(6,6) as floaters

= 10x210x1 = 2100

2. Joe on the floor, leaving C(10,3) for the remainder on floor, C(8,2) for the door and C(6,6) as floaters

= 120x28x1 = 3360

3. Joe as floater leaving C(10,5) for the remaining floaters, C(6,4) for the floor, and C(2,2) for the door

= 252x15x1 = 3780

total = 2100+3360+3780 = 9240

- math - gr 12 -
**joanna**, Monday, February 23, 2009 at 8:38pm
thanks!!!

- math - gr 12 -
**Geetha**, Monday, March 1, 2010 at 7:58pm
THANK YOU!

## Answer This Question

## Related Questions

- SIXTH GRADE MATH - The staff of the Westpoint Public Library signed up 6 ...
- math - in a class of 21 students, 1 out of every 3 students volunteer to work. ...
- English - 1. The volunteers there deliver food to old people. (What is the part ...
- English - Write the complete subject and underline the simple subject., 1/ The ...
- math - Ned is one of 6 library volunteers. He is also one of 8 playground ...
- English - What kind of work is done by volunteers? 1. To help the handicapped to...
- Psychology - What is the independent variable in this scenario: A research ...
- Liberal Arts - Part 1: You finally made it…graduation day has arrived! Your ...
- math - the minimum size dance floor that the prom committee is considering 30 by...
- math - the minimum size dance floor that the prom committee is considering is 30...

More Related Questions