Math

posted by Therese

In how many ways can a group of 10 people be divided into:
a. two groups consisting of 7 and 3 people?
b. three groups consisting of 4, 3, and 2 people?

  1. JJ

    This is a combination

    Do you know that 5! = 5x4x3x2x1 =120??

    from the 10 people you will choose 7

    10! divided by (7!3!)

    Once you have your group of 7 then there are only 3 people left to put into the group of 3. That is only 1 way.
    I think the answer is 4320 ways.

    for 3 groups.

    10!/4!6! for the first group

    You chose 4 so you have 6 left to choose from.

    You have 3 left to choose from

    3!/2!1!

    You will multiply the values from these 3 combination calculations to get your final answer.

    6!/3!3! for the second group.

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