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A Senate committee has 8 Republicans and 6 Democrats. In how many ways can we form a subcommittee with 3 Republicans and 2 Democrats?

Lightning  Mar 11, 2018

Best Answer 

 #1
avatar+12266 
+2

My guestimate:

There are  8 c 3 ways to pick the Republicans  =  56 ways

 for each of these 56 ways to pick a Republican there are

   6 c 2 ways to pick the Dims  = 15

 

56  x  15 = 840 ways

ElectricPavlov  Mar 11, 2018
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2+0 Answers

 #1
avatar+12266 
+2
Best Answer

My guestimate:

There are  8 c 3 ways to pick the Republicans  =  56 ways

 for each of these 56 ways to pick a Republican there are

   6 c 2 ways to pick the Dims  = 15

 

56  x  15 = 840 ways

ElectricPavlov  Mar 11, 2018
 #2
avatar+199 
+2

Yep, that's correct. Thank you!

Lightning  Mar 11, 2018

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