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anonymous

  • 5 years ago

You have a CD with 14 songs, and you want to play 3 of them for your friends. How many different arrangements of 3 songs are possible? (Count two arrangements as different if they have the same 3 songs in a different order.)

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  1. anonymous
    • 5 years ago
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    Are you familiar with the formula for permutations?

  2. anonymous
    • 5 years ago
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    i ws thinking its 2,744 because 14*14*14 = 2,744

  3. anonymous
    • 5 years ago
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    But you can't choose the same song multiple times

  4. anonymous
    • 5 years ago
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    So after you choose the first one, you only have 13 to choose from.

  5. anonymous
    • 5 years ago
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    it is not because in that case you are considering you can play the same song three times

  6. anonymous
    • 5 years ago
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    well than itss 42 than .

  7. anonymous
    • 5 years ago
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    No, your instinct was right as far as the multiplication goes. First you must choose 1 item from a group of 14, then you must choose 1 item from a group of 13, then 1 from a group of 12. So the total number of was you can do this is 14*13*12.

  8. anonymous
    • 5 years ago
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    2,184

  9. anonymous
    • 5 years ago
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    Indeed.

  10. amistre64
    • 5 years ago
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    tag

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