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Thread: Dividing 4 people into 4 groups

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    Dividing 4 people into 4 groups




    A group of 100 people are divided evenly into 4 subgroups. There are 4 friends within the groups. What is the probability that the 4 friends will be in 4 different groups?

    I believe I have solved this but I am not sure if it is correct. Here is what I have done:

    E1 = Probability of person A in any group = 1
    E2 = Probability of person A and B in different groups = 75/99
    E3 = Probability of person A, B, and C in different groups = 50/98
    E4 = Probability all 4 people are in different groups = 25/97

    P(E1E2E3E4) = (75*50*25)/(99*98*97) = .0996
    How does this look?

    Thanks

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    Looks right to me
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