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Investigate the number of different arrangements of the letters in a name.  

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Page 1 Emma's Dilemma Emma is playing around with arrangements of the letters of her name. One arrangement is EMMA, a different arrangement is MEAM. Another arrangement is AEMM. 1. Investigate the number of different arrangements of the letters of Emma's name. 1. EMMA 2. AEMM 3. MAEM 4. MMAE 5. MMEA 6. AMME 12 WAYS 7. EAMM 8. MEAM 9. MEMA 10. AMEM 11. MAME 12. EMAM Emma has a friend called Lucy. 2. Investigate the number of different arrangements of the letters of Lucy's name. 1. LUCY 2.YLUC 3. CYLU 4. UCYL 5. UCLY 6. YUCL 7. LYUC 8. CLYU 9. CLUY 10. YCLU 11. UYCL 12. LUYC 13. ULYC 14. CULY 15. YCUL Page 2 16. LYCU 24 WAYS 17. YLCU 18. UYLC 19. CUYL 20. LCUY 21. LCYU 22. ULCY 23. YULC 24. CYUL Choose some different names. 3. Investigate the number of different arrangements of the letters of the names you have chosen. These names all have all letters different: 1.Jo 2.Max 3.Mark 4.James 1. JO 2 WAYS 2. OJ 1. MAX 2. XMA 3. AXM 6 WAYS 4. AMX 5. XAM 6. MXA 1. MARK 2. KMAR 3. RKMA 4. ARKM 5. ARMK 6. KARM 7. MKAR Page 3 8. RMKA 9....

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