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# Emma's Dilemma

Extracts from this document...

Introduction

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.

Middle

SINOM

3 letters = SAM                                       SIMNO

SMA                                       SMNIO

ASM                                       SMNOI

AMS                                       SIMON

MAS                                        SMION

MSA                                        SINMO

SMOIN

Looked at LUCY                                     SONIM

SOMIN

SOIMN

Conclusion

S using this formula

There are 5 letters in SIMONs name so what we do because there is 24 arrangements we times

24 x 5 = 120

So there are 120 arrangements in SIMONs name

 Name Number of Letters Number of Arrangements JO 2 2 IAN 3 6 LUCY 4 24 SIMON 5 120

I am going to now investigate names with a repetition of a letter in them for

Example:

D,D = 1 , MUM = 3 , EMMA = 12 , KELLY = 60

I have found out that if a name with a letter repetition of 2, then it has half the amount of arrangements, where as a name without a repetition would have more letters.

This student written piece of work is one of many that can be found in our GCSE Emma's Dilemma section.

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