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    ldacosta1's Avatar
    ldacosta1 Posts: 1, Reputation: 1
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    #1

    Oct 1, 2008, 07:11 PM
    Math Homework
    How would you answer the following math problem:

    You and 9 other people take turns riding in pairs on amusement park rides. How many different pairs are possible?
    Flying Blue Eagle's Avatar
    Flying Blue Eagle Posts: 2,056, Reputation: 225
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    #2

    Oct 1, 2008, 09:08 PM
    Idacosta1 - Stop to think ,this is simple,
    You have a total of 9 people
    how many pairs do you have rideing the rides, Uneven number of riders but I figure the odd one will ride with someone that makes another pair
    (9 divided by 2 = 4- with one person left over, someone rides with him or herso you have one more pair to ride, which makes the answer ( 5 - pairs ) good luck and have a good day ;; GOD BLESS ::F.B.E.
    FlyYakker's Avatar
    FlyYakker Posts: 378, Reputation: 41
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    #3

    Oct 7, 2008, 08:17 PM

    Sorry Flying Blue Eagle but it's 10 people ( "you and 9 other"). Also this looks like a "combinations" question... that is, not just how many pairs, but HOW MANY DIFFERENT PAIRS. It is a larger number that you give. Look at Permutations and combinations (2) - Topics in precalculus.

    I don't remember these types of questions when I was was a lad, but then there are a lot of things I don't remember any more.
    Wondergirl's Avatar
    Wondergirl Posts: 39,354, Reputation: 5431
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    #4

    Oct 7, 2008, 08:40 PM

    My math teachers always told us, "Draw a picture."

    10 people = A B C D E F G H I J

    pairs possible = AB AC AD AE AF AG AH AI AJ, BC BD BE BF BG BH BI BJ, CD CE CF CG CH CI CJ, etc. You do the rest. (Remember, AB is the same pair as BA.)

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