GCSE Maths Coursework : Emma’s Dilemma

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GCSE Maths Coursework : Emma's Dilemma

I tried to find as many possible arrangements of letters from the name Emma as I could and found 12 different combinations (see separate sheet.)

I did the same with the name Lucy and got 24 different combinations (see separate sheet.)

I did this systematically to try to avoid missing any combinations and to make it easier to spot any patterns i.e. abcd
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abdc

acbd

acdb

Instead of doing the rest of my investigation with names I decided to use letters i.e. abcd, to complete my investigation as I think it would be even easier to arrange them systematically and spot patterns.

With just one letter I got one combination: So 1l = 1c

With two letters I got two combinations: So 2l = 2c

With three letters I got six combinations: So 3l = 6c

And with four letters I got twenty four combinations: So 4l = 24c

From this I found ...

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