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EMMA'S DILEMMA I am going to investigate the number of different arrangements for the letters in the name LUCY 1 arrangement LUCY A different arrangement is: LUYC Another arrangement is: LCUY This combination consists of all the letters being different. I will also try and find a formula for this arrangement, and number of letters. Once I have discovered these formulae I am going to investigate, other combinations of letters and different amounts of letters. I will then try to discover a link between the formulae to enable me to find a formula for the general case. ARRANGEMENTS IN THE NAME LUCY LUCY UCYL CYUL YCUL LUYC UCYL CYUL YCUL LCUY ULCY CULY YUCL LCYU ULYC CUYL YUCL LYUC UYCL CLYU YLCU LYCU UYLC CLUY YLUC There are 24 different possibilities in this arrangement of 4 letters all different. I have noticed that with Lucy beginning each different letter. For example there are 6 arrangements with LUCY beginning with L, and 6 beginning...

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