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To investigate the number of different arrangements of letters in a different words
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| Submitted: Tue Sep 16 2003
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Aim: To investigate the number of different arrangements of letters in a different words For Example: To could be arranged as ot First I am going to investigate how many different arrangements in the name LUCY, which has no letters the same. LUCY LUYC LYCU LYUC LCYU LCUY ULCY ULYC UCLY UCYL UYLC UYCL CLYU CLUY CULY CUYL CYLU CYUL YLUC YLCU YULC YUCL YCLU YCUL There are 4 different letters and there are 24 different arrangements. SAM SMA MSA MAS ASM AMS There are 3 different letters in this name and 6 different arrangements. TO OT There are 2 different letters in this name and there are 2 different arrangements. Obviously there is only 1 arrangement for a word with one letter. Number of Letters in a word Number of Arrangements 1 1 2 2 3 6 4 24 From the table of results I have found out that a 2 letter word has 2 arrangements, and a 3 letter word has 6. Taking for example a 3 letter word, I have worked out that if we do 3 (the length of the word) x 2 = 6, the number of different arrangements. In...
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