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In this project I had to find out the number of different ways you could arrange any letter words with no repeats, then with one repeat and then find a formula for any number of repeats.
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Kate Parkin 10HB GCSE Coursework Mathematics Emma's Dilemma Introduction In this project I had to find out the number of different ways you could arrange any letter words with no repeats, then with one repeat and then find a formula for any number of repeats. All Different Letters First I decided to do a one letter word: I There of course was only one way of arranging it! Then I did a two-letter word: Me Em There were two ways of arranging that. Next I did a three letter word You You Uoy Uyo Oyu Ouy After that I decided to do the name Lucy. I found these ways of arranging it: Lucy Lcuy Lcyu Luyc Lyuc Lycu Cuyl Cyul Cylu Culy Clyu Cluy Ulcy Ucly Uycl Uylc Ucyl Ulyc Ycul Yclu Yluc Ylcu Yucl Yulc I thought this answer was 24 because there were 4 different letters and 6 different ways to arrange it with the same first letter and so 6x4 is 24 The next name I did was Chloe. I came up with 120 ways of arranging it. For each different first letter there were 24 different ways of arranging...
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