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Math Help - Permutations and Combinations

  1. #1
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    Permutations and Combinations

    Question:
    Using the ordinary alphabet and allowing repeated letters, find the number of words of length 8 that begin and end with T.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by oldguy View Post
    Question:
    Using the ordinary alphabet and allowing repeated letters, find the number of words of length 8 that begin and end with T.
    for the first letter, we have only one choice, it has to be T.

    we have 26 choices for the second letter, since we can repeat. we also have 26 choices for the third letter, the fourth letter, and so on. thus the number of choices we have for words is:

    (1)(26)^7 = 26^7
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  3. #3
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    I think I understand, Thanks.
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    (1)\underbrace{(26)...(26)}_6 (1) = 26^6
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  5. #5
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by ThePerfectHacker View Post
    (1)\underbrace{(26)...(26)}_6 (1) = 26^6
    oh. i didn't notice it had to end with T as well

    i should learn how to read again


    sorry oldguy
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