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  1. #1
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    data staff.`.`.`.`

    In how many possible ways can a family of five be seated in a passenger car if either two or three people sit in the front seat and only tow members can drive? (ps : as my understanding, totally the can contained 6 seats, 3 in front, and 3 in the back)

    Please leave your solutions as well.... thank u very much
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  2. #2
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    Quote Originally Posted by ives View Post
    In how many possible ways can a family of five be seated in a passenger car if either two or three people sit in the front seat and only tow members can drive? (ps : as my understanding, totally the can contained 6 seats, 3 in front, and 3 in the back)

    Please leave your solutions as well.... thank u very much
    Let's do some surgery and disect this problem!

    Two different people can drive, so this gives us two possibilities. Of those two possibilities, there are 4! different ways you can arrange the other four people. This applies to Person A and Person B, so we have 2*4! ways that the family can be arranged. Lastly, we can have two or three people in the front, so this once again doubles out possibilities to give us a final answer of 4*4! = 96 arrangements.

    Let me know if I missed anything!
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