Emma's Dilemma
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Emma's Dilemma In this investigation, I will be attempting to find out the formula that would give me the number of possible arrangements for any group of letters, even if the group contains the same letters. To find this out, I will be investigating the possible arrangements for different groups of letters and from there I will be then using the number of arrangements for each of these groups to find a formula. I will start off with groups of different letters and find the formula for that. The first group of letters I will start off with is the group 'LUCY': 1. LUCY 2. LUYC 3. LCUY 4. LCYU 5. LYCU 6. LYUC 7. ULCY 8. ULYC 9. UYCL 10. UYLC 11. UCLY 12. UCYL 13. CLUY 14. CLYU 15. CYLU 16. CYUL 17. CULY 18. CUYL 19. YLCU 20. YLUC 21. YULC 22. YUC L 23. YCUL 24. YCLU Therefore for a group of four different letters there will be 24 different arrangements. I will now attempt to find out the number of arrangements for a group of...

