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Emma's Dilemma This task involves playing with different arrangements of different names. The names will vary in size and with letters being the same or not the same. Different arrangements for the name EMMA are: 1) EMMA 4) AEMM 7) MAME 10) MEAM 2) EMAM 5) AMEM 8) MMAE 11) MAEM 3) EAMM 6) AMME 9) MEMA 12) MMEA Different arrangements for the name LUCY are: 1) LUCY 7) ULCY 13) CULY 19) YCLU 2) LUYC 8) ULYC 14) CUYL 20) YCUL 3) LYUC 9) UYLC 15) CYLU 21) YULC 4) LYCU 10) UYCL 16) CYUL 22) YUCL 5) LCUY 11) UCYL 17) CLUY 23) YLUC 6) LCYU 12) UCLY 18) CLYU 24) YLCU I am going to find out if there is a relationship between number of letters and number of arrangements when all the letters in the combination are different. L has only one arrangement which is L. LU has two arrangements: 1) LU 2) UL LUC has six arrangements: 1) LUC 3) ULC 5) CLU 2) LCU 4) UCL 6) CUL LUCY, as we know has 24 different arrangements. Here is a table showing the number of letters and the number of arrangements...

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