Emmas Dilemma
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A.M.D.G June 2001 Emma's Dilemma I firstly found the different number of arrangements for Emma's name. 1. EMMA 2. EMAM 3. EAMM 4. AEMM 5. AMEM 6. AMME 7. MAME 8. MAEM 9. MEAM 10. MEMA 11. MMAE I then found the different number of arrangements for Lucy's name. 1. LUCY 2. LUYC 3. LYUC 4. LYCU 5. LCUY 6. LCYU 7. ULCY 8. ULYC 9. UYLC 10. UYCL 11. UCYL 12. UCLY 13. CULY 14. CUYL 15. CYUL 16. CYLU 17. CLYU 18. CLUY 19. YLUC 20. YLCU 21. YCLU 22. YCUL 23. YUCL 24. YULC The method I used to investigate the number of different arrangements of Emma's name was by keeping the first two letters the same and rearranging the last two letters. I kept on doing this until I had the maximum number of arrangements, which was 12. I repeated this procedure with Lucy's name and found 24 arrangements. Next I found the arrangements of some different names to see if I could spot a pattern. 1. TOM 2. TMO 3. MTO 4. MOT 5. OMT 6. OTM My strategy for finding the number of arrangements for the name Tom, was by this...

