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Emma’s Dilemma  

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Denise Shaw Maths Coursework Emma's Dilemma I am using the name Emma playing with the letters in the name to make different arrangements. Emma is a 4 letter word I should get 24 different ways of writing it but because it has 2 letters the same I will only get 12 different ways of writing it. The ways are:- 1.emma 7.mmae 2.eamm 8.mema 3.emam 9.mame 4.meam 10.aemm 5.maem 11.amme 6.mmea 12.amem I am now going to use the word Lucy, Lucy also has 4 letters in it but because all the letters in Lucy are different I will get 24 different arrangements. The ways are:- 1.lucy 9.uycl 17.clyu 2.lcuy 10.ulyc 18.cluy 3.lcyu 11.ucyl 19.yluc 4.luyc 12.uylc 20.ylcu 5.lyuc 13.cyul 21.yucl 6.lycu 14.cylu 22.yulc 7.ulcy 15.culy 23.yclu 8.ucly 16.cuyl 24.ycul I am now going to use Ann a 3 letter word with 2 letters the same I will get 3 different ways. The 3 way are:- 1.ann 2.nan 3.nna I am now going to use Tom a 3 letter word with no letters the same I will...

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