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Emma's Dilemma.  

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Maths Coursework- Emma's Dilemma For this piece of coursework I am going to investigate the number of different ways I can write a word, re-arranging the letters without having any repeats of the sequence. After I have finished my investigations I will try and use my findings to draw together a formula which I could then use to find out how many ways a word can be written for any chosen word. My initial step is to write the name 'EMMA' with as many different arrangements I can find. Part 1 1) EMMA 7) MAME 2) EMAM 8) MEAM 3) EAMM 9) MAEM 4) MMEA 10) AEMM 5) MMAE 11) AMEM 6) MEMA 12) AMME Next I am again going to try a 4 letter word, but this time without repeats (no 2 letters the same) in it. I predict that a 4 letter without repeats will have a lot more letter arrangements than the name EMMA which has 'M' repeated. Part 2- I have chosen the name ANDY. 1)...

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