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GCSE mathematics coursework Emma's dilemma In this investigation I will be investigating how many times you can arrange the letters in names to make different combinations. Firstly I shall investigate how many arrangements there are for the name Emma. For example one arrangement is: EMMA A different one is: MEAM And another is AEMM I shall continue writing out the different combinations until I have all the arrangements possible. Next I shall do the same for the name Lucy. I will then see if I can see any differences in the amount of arrangements between the 2 names. I will carry on the investigation looking at names with different amounts of letters in them; these names will have no repeated letters. For instance a 1-letter name such as J, a 2 letter name such as TJ and so on. After doing a few of these I shall look for a pattern between the numbers of arrangements. In the aim...

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