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Emma's Dilemma Coursework Aim: To investigate the number of different arrangements of the letters in the name Emma and several other names I have chosen and find a formula for the names with different amounts of letters. I will also investigate the number of different arrangements of the letters X and Y and find a formula for the words with different amounts of X's and Y's. Prediction: I think that the more letters in the name the more arrangements of that name there will be. I also think that there will be more arrangements of Lucy than of Emma because all the letters in Lucy are different whilst two letters in the name Emma are the same. Method: To work out the number of different arrangement of names I will write down the first letter of the name, then systematically work out all the arrangement of the name that begin with that letter by...

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