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A class of 10 students, including Jenny, Kenny, and Lenny, are split into two groups of 5 students at random to work on a group project. What is the probability that both Jenny and Kenny are in a different group than Lenny?

 

Really don't know how to approach it

 Oct 16, 2022
 #1
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The probability is 3/40.

 Oct 16, 2022
 #2
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How did you get that?

 Oct 16, 2022
 #3
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There are 10C5 / 2 ways to split the kids up = 126

 

If Jenny and Kenny are togther and Lenny is not then there are   7C3 ways to choose the other three in L and K's group.

7C3=35

 

So I get     35/126

 Oct 16, 2022

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