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Emma’s Dilemma  

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Emma's Dilemma Question 1 There are 12 ways of writing EMMA, they are: 1. EMMA 2. EMAM 3. EAMM 4. MEMA 5. MMEA 6. MAEM 7. MMAE 8. MEAM 9. MAME 10. AMEM 11. AMME 12. AEMM It takes a long time to think of and write all of the different combinations EMMA but there is a way of shortening the task. If you look at all of the different combinations of EMMA all starting with E then you will find that there are only 3. 1. EMMA 2. EMAM 3. EAMM When you have done this you can then multiply 3 by the number of letters in the word, in this case 4. So the sum is 3 x 4= 12. Question 2 I will now use the same rule for the name LUCY to see if this rule works constantly. All of the combinations of LUCY beginning with L 1. LUCY 2. LCUY 3. LCYU 4. LUYC 5. LYUC 6. LYCU As we can see there are 6 ways of writing LUCY beginning with L so...

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