Rearranging Letters in a Word
For this piece of coursework I am going to investigate the number of
different ways I can write a word, re-arranging the letters without
having any repeats of the sequence.
After I have finished my investigations I will try and use my findings
to draw together a formula which I could then use to find out how many
ways a word can be written for any chosen word.
My initial step is to write the name 'EMMA' with as many different
arrangements I can find.
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Part 1
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1) EMMA
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7) MAME
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2)
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The total number of arrangements for the name 'EMMA' is 12.
EMAM
8) MEAM
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3) EAMM
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9) MAEM
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4) MMEA
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10) AEMM
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5) MMAE
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11) AMEM
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6) MEMA
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12) AMME
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Next I am again going to try a 4 letter word, but this time without
repeats (no 2 letters the same) in it.
I predict that a 4 letter without repeats will have a lot more letter
arrangements than the name EMMA which has 'M' repeated.
Part 2- I have chosen the name ANDY.
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1) ANDY
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9) NYAD
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17) DYNA
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2) ANYD
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10) NYDA
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18) DYAN
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The total number of arrangements for the name ANDY is 24.
3) ADYN
11) NDYA
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19) YADN
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4) ADNY
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12) NDAY
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