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Emma's Dilemma 1. Investigate the number of different permutations of the letters of the name Emma. I am trying to find the maximum number of possible permutations of the name EMMA. This name has four letters but only three variable letters E, M and A. Permutations: EMMA MMAE AEMM EMAM MMEA AMEM EAMM MAME AMME MAEM MEMA MEAM This shows us that there are twelve possible permutations of the letters of the name EMMA. Emma has a friend called Lucy. 2. Investigate the number of different permutations of the letters of the name Lucy. I am now trying to find the maximum number of possible permutations of the name LUCY. This name has four letters any four variable letters L, U, C, and Y. Permutations: LUCY ULCY CLYU YLUC LUYC ULYC CLUY YLCU LCYU UYCL CULY YCUL LCUY UYLC CUYL YCLU LYCU UCLY CYUL YULC LYUC UCYL CYLU YUCL This shows us that there are twenty-four possible permutations of the letters of the name LUCY. Chose some different combinations of letter. 3. Investigate the number of different permutations of the letters that you have chosen. I am now going to try to find a pattern in the permutations...

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