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Sean Jones Maths coursework Set 1; Mrs Loney June2003 Emma's Dilemma Emma is playing with the arrangements of the letters in her name. One arrangement is EMMA A Different arrangement is Meam The following is a list of all combinations of the letters in the name EMMA. Emma has 2 letters the same. EMMA AMME AMEM EMAM AEMM EAMM MMEA MMAE MEMA MAME MEAM MAEM Emma has a friend named Lucy Lucy has all 4 letters different. LUCY LUYC LYCU LYUC LCYU LCUY ULCY ULYC UCYL UCLY UYCL UYLC CLUY CLYU CUYL CULY CYLU CYUL YLUC YLCU YUCL YULC YCLU YCUL The arrangements for Lucy has came out with 24 different combinations. This is double that of the combinations for the name Emma. This is because of EMMA having two letters the dame. This illiminate's the possibility of creating more different combinations. No matter how much you jumble up MM, they will stay MM. I ma now going to look to see how combinations for other names with all letters different figure out. Two letters different JO OJ Two combinations Three letters different SAM SMA AMS ASM MAS MSA 6 different combinations Lucy See above 24 different combinations 5 Letters different ANDIE ANDEI ANEDI ANEID ANIDE ANIED ADNIE ADNEI ADENI ADEIN ADIEN ADINE AIDNE AIDEN AIEDN AIEND AINED AINDE AEIDN AEIND AENID AENDI AEDNI AEDIN So far I have 24 combinations. All combinations begin with 'a'...

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