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Emma's Dilemma
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- 1249
- Submitted:
- Mon Jul 20 2009
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... Emma's Dilemma Emma and Lucy are experimenting with the arrangements pf the letters in their names. I am going to look into how many arrangements of the word Lucy there are; I am then going to find to find all of the arrangements for words with other numbers of letters in them. I am looking for a link between the number of letter in a word and the number of different arrangements of the letters there are. LUCY I am starting off with the word Lucy; I am going to write out all the different arrangements of the letters in the name. LUCY LUYC LYUC LYCU LCUY LCYU ULCY ULYC UYLC UYCL UCLY UCYL CYLU CYUL CULY CUYL CLYU CLUY YLUC YLCU YCUL YCLU YULC YUCL There are 24 different combinations for the word Lucy. I can see from this that the first letter in any arrangement of the letters can be one of N letters (where N is the number of letters in the word). Therefore the second letter can be one of the N-1













