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kevo

How many ways are there to rearrange the letters in the word "MISSISSIPPI" so that the resulting word contains four consecutive letters S? Hint: Think of the string "SSSS" as a new letter

  • one year ago
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  1. AbhimanyuPudi
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    8!/(4!)(2!)

    • one year ago
  2. kevo
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    Could you please explain abhimanyu?

    • one year ago
  3. AbhimanyuPudi
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    Take {S,S,S,S} to be one letter....then you will have 8letters in which there are 4I's and 2P's....So arranging n things in which m are one type and n are of one type is n!/(m!)(n!)

    • one year ago
  4. kevo
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    THANKS!!!

    • one year ago
  5. kevo
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    hold on though, wouldn't we need to factor in that the S's can be in any particular order, so we have to avoid multiples, yeah?

    • one year ago
  6. kevo
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    8!/(4!*4!*2!)?

    • one year ago
  7. Ishaan94
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    it won't matter. SSSS is gonna look the same.

    • one year ago
  8. Ishaan94
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    so, no permutation for the S group.

    • one year ago
  9. kevo
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    So I wouldn't have to take into account the S's? But for the I's and the P's?

    • one year ago
  10. Ishaan94
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    because you can have ISSSSI... or IISSSSI... but not SSIISS...

    • one year ago
  11. AbhimanyuPudi
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    IMISSSSIPPI and MSSSSIIPIPI are two of the arrangements...here if you take a look, you will find all S's together but I's and P's may be all together or a few together and others seprated or all may be separated...So, I's and P's must be considered for arranging but not S's

    • one year ago
  12. kevo
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    OH! I see where this is going. But couldn't you also have ISSSSI and ISSSSI with just the S's rearranged?

    • one year ago
  13. AbhimanyuPudi
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    if S's are rearranged the word looks the same but if I's and P's are rearranged, word changes and thats what the question is about..Find the different words formed by reaarrangement

    • one year ago
  14. kevo
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    Ahhhhh I see, thank you for your guys' help! I really appreciate it

    • one year ago
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