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A business organization needs to make up a 7 member fund-raising committee. The organization has 6 accounting majors and 7 finance majors. In how many ways can the fund-raising committee be formed if at least 4 accounting majors are on the committee?

 Mar 27, 2020
 #1
avatar+111321 
+1

If  4 accounting  majors  are on the  committee =  C(6,4) * C(7, 3)   =  525  ways

 

If  5  are on the committee      =  C(6,5) * C(7, 2) =  126 ways

 

If 6  are  on the commmittee   =  C(6,6) * C(7, 1)   = 1 * 7 =   7 ways

 

So

 

525 + 126  +  7  =  

 

658 ways

 

 

cool cool cool

 Mar 27, 2020
edited by CPhill  Mar 27, 2020
 #2
avatar+1956 
+1

Nice :DDD

CalTheGreat  Mar 27, 2020

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