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Math Help - STATISTICS, how many 5-letter arrangements?

  1. #1
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    STATISTICS, how many 5-letter arrangements?

    How many different 5-letter "words" can be formed from the 10 letters in STATISTICS?

    10 letter "words" is okay 10!/(3!3!2!). Do we have to look at all the cases here. ie with a,c and without including various of s,t,i to make up the 5.??

    Any ideas
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  2. #2
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    Quote Originally Posted by galaxie View Post
    How many different 5-letter "words" can be formed from the 10 letters in STATISTICS? Any ideas
    This is just a tedious problem with no simple approach.
    To solve it you must consider all possible cases.
    The first case is with no letter repeated: (5!)

    Then you might consider words with 2 or 3 Ss but on other repeats.
    Double that to account for similar cases using Ts.

    The another case would be: 2 Ss , 2 Ts and another.

    As you can see it is messy to find all cases.

    Good Luck.
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