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GCSE Mathematics: Emma’s Dilemma
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| Submitted: Fri Jun 03 2005
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GCSE Mathematics: Emma's Dilemma Emma and Lucy are playing with arrangements of their names. One arrangement of LUCY is L.U.C.Y. Another arrangement is Y.L.C.U. We are investigating the number of different arrangements of Emma and Lucy's names. Then we shall move onto the number of different arrangements of various groups of letters. Firstly, I shall list all the possible combinations for the word "LUCY": LUCY LCUY LYUC LYCU LUYC LCYU UCYL UYCL ULCY ULYC UYLC UCLY CYLU CYUL CULY CUYL CLYU CLUY YCUL YCLU YUCL YULC YLUC YLCU = 24 Combinations I listed all these combinations by using the following method: Step 1 Arrange the listing process into 4 stages: 1 _ _ _ 2 _ _ _ 3 _ _ _ 4 _ _ _ Step 2 You start off with the original word: 1234 Acquire the combinations of the last two numbers first and you end up with 1243. Now that you have 1243, do the...
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