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 A college has 88 full-time faculty members. Of these, 25 are in the Math and Science Division, 23 are in the Allied Health Division, 14 are

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A college has 88 full-time faculty members. Of these, 25 are in the Math and Science Division, 23 are in the Allied Health Division, 14 are in the Liberal Arts Division, 7 are in the Business Division, and 19 are in the Computer and Technology Division. For contract negotiations, a 7-member team will be formed by selecting one member from each division, plus 2 "at large" members who may be selected from any of the remaining faculty. How many negotiating teams are possible?

 Mar 20, 2015

Best Answer 

 #1
avatar+130518 
+10

We have n ways to choose 1 person from a department with n people.

Then, from the total remaining  people - 83 - , we just want to choose any 2 of them.

So we have....

25 x  23  x 14 x 7 x 19 x C(83, 2)  = 3,643,421,950 possible teams

 

  

 Mar 20, 2015

2+0 Answers

 #1
avatar+130518 
+10
Best Answer

We have n ways to choose 1 person from a department with n people.

Then, from the total remaining  people - 83 - , we just want to choose any 2 of them.

So we have....

25 x  23  x 14 x 7 x 19 x C(83, 2)  = 3,643,421,950 possible teams

 

  

CPhill Mar 20, 2015
 #2
avatar+118723 
+5

I got the same.  Miracles to happen sometimes.  LOL

 Mar 21, 2015

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