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From Emma’s name, a four letter word, we this time only get twelve arrangements. This exactly half of twenty-four,(twenty-four being the total number of arrangements for a four letter word with all the letters differ  

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Coursework Part 1: Lucy Lyuc Lcyu Lcuy Lycu Luyc Ulcy Uylc Ucyl Uycl Ulyc Ucly Cluy Cylu Cuyl Cyul Clyu Culy Yluc Yclu Yucl Ycul Ylcu Yulc If a word has: 2 letters it has 2 combinations. E.g. AB, BA 3 letters it has 6 combinations. E.g. ABC, ACB, BAC, BCA, CAB, CBA The 6 combinations are found by multiplying the 3 letters times the 2 previous combinations. This works because the combination of the 2 letters only has 2 different combinations and because now there is another letter I just times the amount of letters in the new word by the amount of combinations in the previous word to find the amount of combinations in the new word. So if the number of combinations to a 3 letter word I multiply together 3 and 2 too give the answer it becomes 3x2x1. And to get the amount of combinations of a for a 4 letter word I...

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