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Investigation I am first going to write out all the combinations for the name Emma. emma eamm emam meam maem mmea mmae mema mame amme aemm amem This proves that if a name has the same arrangements of letters they will have the same total number of different combinations. However, this does not give me sufficient information to develop a formula. I am now going to look at names with 2 letters the same like Emma, but with a different total number of letters. I am going to look at all the combinations for the name Lucy. Lucy has 24 different combinations. This means that all names with 4 different letters will have a total of 24 different combinations. I am now going to look at different names with different numbers of letters. All the names I investigate will all have different letters. Name: Jo Total number of letters: 2 jo oj Jo has 2 different combinations. Name: Ian Total number...

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