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Emma’s Dilemma  

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Emma's Dilemma Emma and Lucy are playing with arrangements of their names. One arrangement of Lucy is: L U C Y A different arrangement is: Y L C U Our task is to experiment with the different combinations of the letters in the names Lucy and Emma and find any patterns which we can use to find different combination of words and numbers. There are three parts: Part 1: Investigate the number of different arrangements of the letters of Lucy's name. Part 2: Investigate the number of different arrangements of the letters of Emma's name. Part 3: Investigate the number of different arrangements of various groups of letters. Combination of Lucy L U C Y LUCY ULCY CLUY YLUC LUYC ULYC CLYU YLCU LYCU UCYL CULY YUCL LYUC UCLY CUYL YULC LCUY UYCL CYLU YCLU LCYU UYLC CYUL YCUL Method The method I used to find the combinations of LUCY was systematic. I knew that the name Lucy consisted of four letters, L, U C and Y, so I created a table, putting these letters in as ''starters''. I then began finding the combination that go with each individual letters. I...

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