# Emma's Dilemma

Student name: Birkan Akin                 Maths Coursework                                              29/12/2001

## Title of coursework: Emma’s Dilemma

Aim: To investigate and find a formula for the number of different arrangements of the letters in a name. This will include names that have two, three, four or five of the same letters in a name.

In my investigation I am going to investigate the number of different arrangements of letters in a word different words.

(Task 1) I will be investigating the number of different arrangements of the letters in EMMA’s name.

1)EMMA

2)EMAM

3)EAMM

4)MEAM

5)MEMA

6)MAEM

7)MAME

8)MMEA

9)MMAE

10)AEMM

11)AMEM

12)AMME

(Task 2/3) I will be investigating the number of different arrangements of the letters in LUCY’s name, which has no letters the same. Also I will be investigating names I have chose.

1)LUCY

2)LUYC

3)LYCU

4)LYUC

5)LCYU

6)LCUY

7)ULCY

8)UCLY

9)UYLC

10)ULYC

11)UCYL

12)UYCL

13)YCUL

14)YUCL

15)YULC

16)YLCU

17)YLUC

18)YCLU

19)CYLU

20)CYUL

21)CUYL

22)CULY

23)CLUY

24)CLYU

I will now be investigating the number of different arrangements of the letters in SAM’s name.

1)KAN

2)KNA

3)NKA

4)NAK

5)AKN

6)ANK

I will now be investigating the number of different arrangements of the letters in AT’s name.

1)AT

2)TA

I will now be investigating the number of different arrangements of the letters in DAVIS’s name

1)DAVIS

2)DAVSI

3)DAISV

4)DAIVS

5)DASIV

6)DASVI

7)DVAIS

8)DVASI

9)DVISA

10)DVIAS

11)DVSAI

12)DVSIA

13)DSVIA

14)DSVAI

15)DSAVI

16)DSAIV

17)DSIAV

18)DSIVA

19)DIAVS

20)DIASV

21)DIVAS

22)DIVSA

23)DISVA

24)DISAV

Looking at my results I have created a results on the information.

Results

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