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GCSE Coursework - Emma's Dilemma! I am going to investigate the number of different arrangements of the letters of Emma's name. I will investigate this by using a system. My system is to find all the arrangements beginning with 'E', then all the arrangements beginning with 'M', and finally all the arrangements beginning with 'A'. EMMA MMAE AEMM EMAM MMEA AMME EAMM MAME AMEM MEMA MEAM MAEM I have found 12 different arrangements for the name Emma. I have also found a new systematic way, to find the arrangements. This system is to find everything beginning with the same letter, by fixing two, moving two and so on. I will use this to investigate the number of different arrangements for the name Lucy. LUCY UCYL CYLU YLUC LUYC UCLY CYUL YLCU LCYU UYLC CLUY YUCL LCUY UYCL CLYU YULC LYUC ULCY CUYL YCLU LYCU ULYC CULY YCUL I have found 24 different arrangements for the name Lucy. So far I have used names with 4 letters but 'Emma' has a double letter and 'Lucy' does not. So this means a double letter equals half the number of arrangements of a...

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