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Emmas Dilema Jonathan Busby This piece of coursewrk is to investigate the possible arrangements of Lucy and Emma. Also I have to investigate the number of different arrangements of various groups of letters. I will start my experiment off by investigating the two-lettered word JO. Two-Lettered Word JO OJ JO has a total of two letters making up its word. Therefore its total amount of arrangements is that of tom. Three-Lettered Word TOM, TMO, MOT, MTO, OMT, OTM I have a three lettered word (tom) which has a total of 6 different arangements, as i have shown above. Four-Lettered Word LUCY UCLY CYLU YCLU LUYC UCYL CYUL YCUL LYUC UYLC CULY YUCL LYCU UYCL CUYL YULC LCYU ULYC CLYU YLUC LCUY ULCY CLUY YLCU By arranging the letters in this way, I found that the four-lettered word LUCY had a total of 24 arrangements. By showing how many arrangements there were when the single letter L was at the beginning I could calculate...

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