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Emma's Dilemma  

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Emma's Dilemma - Mathematics Coursework Scott McMenemy * Emma and Lucy are playing with the different arrangements of the letters of their names. There are a number of different arrangements in the letters of Lucy's name: LUCY ULCY CYUL YLUC LUYC ULYC CYLU YLCU LYUC UYLC CLUY YCLU LYCU UYCL CLYU YCUL LCYU UCLY CULY YUCL LCUY UCYL CUYL YULC There are an overall 24 different arrangements for the letter in Lucy's name. * There are a number of different arrangements for the letters od Emma's name also: EMMA MEMA AMME EMAM MEAM AMEM EAMM MMEA AEMM MAME MAEM MMAE There are an overall 12 different arrangements for the letters in Emma's name. * I have discovered that there are 24 arrangements for any 4 letter word as long as all letters are different - e.g. Lucy, Fred, John. Taking n as the number of letters in the word, we can say that the number of arrangements for a word which has all different letters in...

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