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Emma's Dilemma Arrangements for Emma: emma emam eamm mmae mmea meam mema mame maem amme amem atmm There are 12 different arrangements for Emma's name. Arrangements for Lucy: lucy ucyl cylu ycul luyc ucly cyul yclu lcuy ulcy culy yulc lcyu ulyc cuyl yucl lyuc uycl clyu ylcu lycu uylc cluy yluc There are 24 different arrangements for Lucy's name: Double the amount of Emma's name. I have noticed that with Lucy there are 6 possibilities beginning with each different letter. For example there are 6 arrangements with Lucy beginning with L, and 6 beginning with u and so on. 6 X 4 (the amount of letters) gives 24. My strategy for working out the arrangements was using systematic patterns. For Emma's name, I started off with the letter E and once I had found all the different arrangements beginning wit E, I moved on to M and then A. I used the same principle for Lucy's name. Here are some other 4-letter names where one has 2 letters the same, and the other one all letters are different. I am doing this to test that the results are...

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