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Year 10 Maths Coursework Emma's Dilemma Emma is playing with different arrangements of her name. One arrangement is EMMA A different arrangement is MEAM Another arrangement is AEMM I investigated the total number of different arrangements of the letters of Emma's name. I worked out all the arrangements and come up with the following EMMA MAME MMAE AMME EMAM MAEM MAEM AMEM EAMM MEAM MAEM AEMM From this I can see that there are 12 possible arrangements. It was also interesting to see that when starting with each different letter in Emma's name, there was the same amount of arrangements for each. We had to account double the M's with there being two M's in Emma's name and so their was two times as many arrangements for that letter. Emma has a friend named Lucy. When investigating the number of different arrangements of the letters of Lucy's name, I came up with the following arrangements. LUCY CULY ULCY YUCL LCUY CLUY UCLY YCUL LYUC CYUL UYLC YLUC LYCU CYLU UYCL YLCU LCYU CLYU UCYL YCLU LUYC CUYL ULYC YULC The total number of different arrangements for the letters in Lucy's name is 24. It...

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