Emma’s Dilemma

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Denise Shaw

Maths Coursework

Emma’s Dilemma

I am using the name Emma playing with the letters in the name to make different arrangements. Emma is a 4 letter word I should get 24 different ways of writing it but because it has 2 letters the same I will only get 12 different ways of writing it.

The ways are:-

1.emma     7.mmae

2.eamm     8.mema

3.emam     9.mame

4.meam    10.aemm

5.maem    11.amme

6.mmea    12.amem

I am now going to use the word Lucy, Lucy also has 4 letters in it but because all the letters in Lucy are different I will get 24 different arrangements.

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The ways are:-

1.lucy    9.uycl    17.clyu

2.lcuy   10.ulyc   18.cluy

3.lcyu   11.ucyl   19.yluc

4.luyc   12.uylc   20.ylcu

5.lyuc   13.cyul   21.yucl

6.lycu   14.cylu   22.yulc

7.ulcy   15.culy   23.yclu

8.ucly   16.cuyl   24.ycul

I am now going to use Ann a 3 letter word with 2 letters the same I will get 3 different ways.

The 3 way are:-

1.ann

2.nan

3.nna

I am now going to use Tom a 3 letter word with no letters the same I will get 6 different ways.

The ways are:-

1.tom ...

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