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16 May, 20:14

Jim is entering kennywood with 5 of his friends. At the gate they must go through a turnstile one at a time. How many ways can Jim and his friends go through the turnstile

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  1. 16 May, 23:32
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    6 ways

    Step-by-step explanation:

    The total number of people we have entering Kennywood is 6, since it's Jim with 5 of his friends.

    Now, we can only have movement through the game one at a time

    The number of ways they can move through the gate one at a time is 6C1 ways

    and that is mathematically;

    if we are to select a number of r items from a total of n, the number of combinations or ways is;

    nCr = n! / (n-r) ! r!

    Applying these to the problem at hand, we have

    6! / (6-1) !1! = 6! / (5!) (1!) = (6 * 5!) / 5! = 6 ways
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