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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 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. Part 1 Set 1 Set 2 Set 3 Set 4 LUCY UCYL CUYL YCUL LUYC UCLY CULY YCLU LCUY ULCY CLUY YLUC LCYU ULYC CLYU YLCU LYCU UYCL CYUL YULC LYUC UYLC CYLU YUCL I have investigated the number of arrangements of the letters of Lucy's name in an organized way. I have written them out in sets with Set 1 beginning with L. Set 2 with U, Set 3 with C and Set 4 with Y. in each set the arrangements are written out in an order i.e. in set 1 the first 2 arrangements begin with LU, the 2 after that begin with LC and the 2 after that begin with LY. There are 24 different arrangements. Examples If...

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