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Introduction: In this coursework I will be investigating "Emma's dilemma" which is about permutations of letters. I will see how many permutations of the word "Lucy". Then I will continue my investigation by finding the amount of permutations in a word that has 2 letters the same such as the word "Emma". In order to fully understand the work and find patterns between the words and arrangements, I will need to structure it to show how I got from one point to the other. To further my investigation I will see how many permutations there are in various groups of words such as, words that have 3 letters the same and the rest different, and I will expand on this theory to find patterns relating to the work. Part 1: For the first part of this investigation I will be finding out how many permutations there are in words that have...

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