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Emma's Dilemma  

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Emma's Dilemma By Sophie Morand I'm going to investigate the number of ways the letters in the name Lucy can be arranged. I will do this systematically by finding all the different arrangements beginning with L, then beginning with U, then C, then Y. LUCY LUYC LCUY LCYU LYCU LYUC ULCY ULYC UCLY UCYL UYCL UYLC CLYU CLUY CUYL CULY CYUL CYLU YLCU YLUC YULC YUCL YCLU YCUL Including "Lucy" there are 24 arrangements of the letters L U C Y. I am going to use the same systematic method to investigate the arrangements of Emma. This name is different to the name Lucy as in Emma there is a double "m" and in Lucy no letters are repeated. EMMA EMAM EAMM MMAE MMEA MEAM MAEM MEMA MAME AMME AMEM AEMM Including "Emma" there are 12 ways of arranging E M M A. I am now going to investigate the number of ways a four-letter word with one letter repeated three times can be arranged. I will use the letters E M M M EMMM MEMM MMEM MMME There are four ways which the letters E M M M can be arranged, including "Emmm." A four-letter...

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