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Emma's Dilemma
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Danny Soopen GCSE Maths Project - "Emma's Dilemma" I have been told to investigate the number of different arrangements of the letters of 'EMMA'. I was then told to investigate the number of different arrangements of the letters of 'LUCY'. After these, I must investigate into different arrangements of letters and find a rule to find the number of different arrangements of letters of any name. Part 1: Ways of arranging EMMA's name: EMMA MEMA MMAE AMME EMAM MEAM MAEM AMEM EAMM MMEA MAME AEMM For each new beginning letter, there are 3 different possible combinations. There are a total of 12 possible different combinations. Part 2: Ways of arranging LUCY's name: LUCY ULCY CULY YUCL LUYC ULYC CUYL YULC LCUY UCLY CLUY YCUL LCYU UCYL CLYU YCLU LYUC UYLC CYLU YLUC LYCU UYCL CYUL YLCU For each new beginning letter, there are 6 different possible combinations. There are a total of 24 possible different combinations. 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...
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