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Probability question (Counting)

  1. Jan 25, 2006 #1

    jtm

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    imagine a 8 letter word, how many possibilities are there to arrange letters in the alphabet (26) that start with BO(in that order) OR end with BO (in that order), if letters can be repeated?

    This is my work:

    1 * 1 * 26 * 26 * 26 * 26 * 26 * 26 = 26^6 +

    26 * 26 * 26 * 26 * 26 * 26 * 1 * 1 = 26^6

    BUT I'm not sure what the intersection is because:

    do we subtract 1 or 26^4?

    my logic from 26^4 is coming from BOLLLLBO <-- where L is any letter

    Thank you!
     
  2. jcsd
  3. Jan 25, 2006 #2

    StatusX

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    Homework Helper

    Your logic sounds right.
     
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