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Emma's Dilemma - Rearranging Emma's Name in different permutations  

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Emma's Dilemma - Rearranging Emma's Name in different permutations I am going to investigate the number of different arrangements for the letters in the name EMMA. The name EMMA consists of 2 different letters and 2 letters the same. I am going to investigate other names with the same combination of letters; I will try and find a formula for these combinations. Arrangements for Emma: emma emam eamm mmae mmea meam mema mame maem amme amem aemm There are 12 possibilities; note that there are 4 total letters and 3 different. I will then look at the name LUCY. This combination consists of all the letters being different. I will also try and find a formula for this arrangement, and number of letters. What if they were all different like Lucy? 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 possibilities in this...

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