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Emma's Dilemma

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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.  

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Middle

SINOM

3 letters = SAM                                       SIMNO

                 SMA                                       SMNIO

                 ASM                                       SMNOI

                 AMS                                       SIMON

                MAS                                        SMION

                MSA                                        SINMO

                                                                 SMOIN

Looked at LUCY                                     SONIM

                                                                 SOMIN

                                                                 SOIMN

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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.

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