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Summer Clouds moderators

04/11/2017 at 23:18
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Some radio stations have call letters that contain 4 letters. Two examples are KTOO and WFXM. The first letter must be a K or W, and the last 3 letters can be any letter except K or W. How many different 4-letter arrangements of station call letters are possible?



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    Phan Thanh Tinh Coordinator 05/11/2017 at 12:02

    There are 26 letters in the English alphabet

    There are 2 choices to choose the first letter

    There are 24 choices to choose each of the last 3 letters

    The answer is : 2 x 243 = 27648

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    Phạm Tuấn Đạt 05/11/2017 at 22:36

    There are 26 letters in the English alphabet

    There are 2 choices to choose the first letter

    There are 24 choices to choose each of the last 3 letters

    The answer is : 2 x \(24^3\) = 27648

  • ...
    Lê Quốc Trần Anh Coordinator 05/11/2017 at 10:57

    There are: \(2\cdot\left(27-2\right)\cdot\left(27-2\right)\cdot\left(27-2\right)=2\cdot25^3=31250\) arrangements of station are possible.



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