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how many batting lineups of the nine players can be made for a baseball team if the cathcher bats first, the shortstop second and the pitcher last?

  • math -

    If we leave out the catcher, the shortstop and the pitcher, that leaves us with 6 positions to fill.
    There will be a choice of 6 people for the first of the 6 position, and 5 for the next, until the last there is one.
    How many lineups can you make?

  • math -

    720!

  • math -

    We have then only 6 positions to play with:
    6 * 5 * 4 * 3 * 2 * 1 = 6! = 720

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