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My school's math club has 6 boys and 8 girls. I need to select a team to send to the state math competition. We want 6 people on the team. In how many ways can I select the team without restrictions?

 Feb 28, 2021

4+0 Answers

 #1
avatar+37146 
+1

6 + 8 = 14

 

14 c 6 = 3003 ways       = 14!/ (6! 8!)

 Feb 28, 2021
 #2
avatar+118677 
+1

EP has assumed that you only care about gender.

 

I'd say it is 14C6     since I assume every member is an individual.

 Feb 28, 2021
 #3
avatar+37146 
0

Thanx , Melody.....I assumed it DIDN'T care about gender as  'without restrictions' was part of the Q ...

    Have a good one !

ElectricPavlov  Feb 28, 2021
 #4
avatar+118677 
+1

That depends how you look at it.

You assumed that all the boys are 'identical' and choosing one is the same as choosing a different one,

Same with the girls.

So you have not treated the children as individuals, you have only cared about their gender.

Melody  Feb 28, 2021

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