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Emma's Dilemma.  

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Emma's Dilemma Introduction This coursework is about rearrangements of the letters in peoples names. We will be looking at how many combinations you can make out of the letters in different size names. I will then work out a formula that will let me work out the number of combinations in a name given the number of letters in that name. I will work this out in a systematic way, by changing one letter at a time and moving down the word. The names I will be using are: 2 letter name BO 3 letter name SAM 4 letter name MIKE 5 letter name KARIN Results 2 letter name BO OB For this name, there are only 2 possible combinations 3 letter name SAM ASM MSA SMA AMS MAS For the 3 letter name, there are 6 possible ways. 4 letter name MIKE IMKE KMIE EMIK MIEK IMEK KMEI EMKI MKIE IEMK KIEM EIKM MKEI IEKM KIME EIMK MEIK IKEM KEIM EKMI MEKI IKME KEMI EKIM 24 different combinations are possible with a...

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