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I will find all the different combinations of Emma’s name by rearranging the letters. Following this, I will do the same with Lucy’s name and compare  

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By Emily Kho - 10GGW Maths Investigation: Emma's Dilemma Introduction: During my investigation, I will explore the number of arrangements of different names. My aim is to find a general formula which will enable me to work out the number of arrangements for any name. I will begin this investigation with the name EMMA. Method: I will find all the different combinations of Emma's name by rearranging the letters. Following this, I will do the same with Lucy's name and compare my results. All the letters in Lucy's name are different so, I will investigate the number of permutations for names with different letters. From my results, I will devise a formula for names with different letters. Emma's name has two letters which are the same so I will investigate the numbers of alternative combinations for names where two letters are the same. I will do the same for names where three letters...

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