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louis413

find the number of batting orders for nine baseball players when the best two batters must be in the second and third positions

  • one year ago
  • one year ago

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  1. Xavier
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    The easiest way to do this is to draw 9 lines and list your options 9 1 1 6 5 4 3 2 1 _ _ _ _ _ _ _ _ _ So we have 9*6*5*4*3*2 different lineups

    • one year ago
  2. louis413
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    yeah i know that but isnt there a easier way with the permutation equation?

    • one year ago
  3. louis413
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    this other website says 9! - ( 8! * 2 ! ) and the answer is right

    • one year ago
  4. phi
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    There are 9 batters. However, 2 are pre-selected. that leaves 7 batters and 7 slots. there are 7! ways of assigning the 7 batters to the 7 slots.

    • one year ago
  5. louis413
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    can you explain this?: 9! - ( 8! * 2 ! )

    • one year ago
  6. Xavier
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    Ah sorry the first should be a 7 not 9 since the 1 and 1 are already preselected as phi says

    • one year ago
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