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GCSE Mathematics Coursework Emma's Dilemma In my investigation I am going to investigate the number of different arrangements of letters for names and words and try to find a formula that can be used to predict this. For example: TOM is one arrangement and OTM is another arrangement First, I am going to investigate the number of different arrangements of letters for the name LUCY (a 4-letter name, where all the letters are different). LUCY ULCY CLUY YLUC LUYC ULYC CLYU YLCU LCUY UCLY CULY YULC LCYU UCYL CUYL YUCL LYUC UYLC CYLU YCLU LYCU UYCL CYUL YCUL There are 4 different letters and 24 different arrangements. Once I have investigated the number of different arrangements for one 4-letter name/word where all the letters are different, I do not need to try any more. If I tried the name DAVE for example, there would still be 24 different arrangements. I could substitute the L in LUCY for the D in DAVE, the U for A, the C for V, and the Y for E; and would therefore end up with the same result. The...

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