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EMMA'S DILEMMA I have been told to investigate the number of different arrangements of the letters of 'EMMA'. I was then told to investigate the number of different arrangements of the letters of 'LUCY'. After these, I must investigate into different arrangements of letters and find a rule to find the number of different arrangements of letters of any name. ------------------------------------------------------------------------------------------------------- --The different arrangements of EMMA's name: EMMA MMAE MAEM MEAM AEMM EAMM EMAM MMEA MAME MEMA AMME AMEM There are 12 different combinations of rearranging the letters of EMMA. -------------------------------------------------------------------------------------------------------The different arrangements of LUCY's Name: LUCY ULCY CLUY LCUY LYUC YLUC LUYC ULYC CLYU LCYU LYCU YLCU CYLU YCLU UCYL UYCL CUYL YULC CYUL YCUL UCLY UYLC CULY YUCL There are 24 different combinations of rearranging the letters of LUCY. ------------------------------------------------------------------------------------------------------- The method, which I used in order to find the possible solutions for both 'LUCY' and 'EMMA', was the same. I first took all the possible first 2 letters of the name: e.g for EMMA it was- EM, EA, ME, MM, MA, AE, AM. The way in which I was able to get all the possible first 2...

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