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Emma's Dilemma.  

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Emma's Dilemma In this investigation I am going to investigate the number of different arrangements of letters in a word. I will firstly see the number of arrangements of the letters of Emma's name. ARRANGEMENTS FOR EMMA 1) EMMA 2) EMAM 3) EAMM 4) AEMM 5) AMEM 6) AMME 7) MMAE 8)MMEA 9) MEAM 10) MAEM 11) MAME 12) MEMA I have found that there are 12 different arrangements. In each word there are total of 4 letters and 2 of them are the same, 'M' which is repeated. Now I shall see how many different arrangements there are in the name Lucy ARRANGEMENTS FOR LUCY 1) LUCY 2) LUYC 3) LYUC 4) LYCU 5) LCUY 6) LCYU 7) ULYC 8) ULCY 9) UYCL 10) UYLC 11) UCLY 12) UCYL 13) CLUY 14) CLYU 15) CYUL 16) CYLU 17) CULY 18) CUYL 19) YUCL 20) YULC 21) YLCU 22) YLUC 23) YCUL 24)YCLU There are 24...

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