Matthew Shaw/10Ds/Mrs Finn 17/07/02 Mathematics GCSE
Emma’s Dilemma
On this piece of mathematics coursework called Emma’s Dilema we are going to look at all the different ways that we can arrange names. On this piece of coursework I am trying to achieve to find all the different ways I can arrange names and also I want to find out a good enough formula so that i can find the different arrangements more easily.
Here are the different arrangements of writing EMMA’s name:
EMMA
EAMM
EMAM
MEAM
MAEM
MMEA
MMAE
MEMA
MAME
AEMM
AMEM
AMME
Here are the different arrangements of LUCY’s name:
LUCY
LCUY
LYCU
LYUC
LCYU
CLUY
CULY
CYLU
CLYU
CUYL
CYUL
ULCY
ULYC
UCYL
UCLY
UYLC
UYCL
YLUC
YLCU
YULC
YUCL
YCLU
YCUL
LUYC
In my investigation that I undertook from my results I found out that there were 24 different ways of writing LUCY, and only 12 ways of writing EMMA. This is because there are 2 M’s, so therefore this means that there are 3 letters to do your combination of EMMA’s name, and in LUCY’s name there are 4 so therefore this cuts down the number of times you can arrange the letters, even thou there are four letters in each name.
