If a Reading club has nine members, how many ways can all nine members line up for a picture?

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  • 4 weeks ago

    In general, if there are n items, the total ways to arrange (permute) them is n!

    The long way is to think:

    You have 9 choices for the person in the first position.

    You have 8 choices for the person in the second position.

    You have 7 choices for the person in the third position.

    ...

    You have 2 choices for the person in the eighth position.

    You have 1 choice for the person in the last position.

    Multiply those together:

    9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

    = 9!

    = 362,880 ways

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