Investigate the number of different arrangements of the letters of Lucy's name.

The first 200 words of this essay...

Tharshan Baskaran 5N

Emma's Dilemma

Part One

Investigate the number of different arrangements of the letters of Lucy's name.

Below is a list of the different combinations of Lucy's name:

Lucy

Luyc

Lcuy

Lcyu

Lyuc

Lycu

Ucyl

Ucly

Ulcy

Ulyc

Uycl

Uylc

Cylu

Cyul

Culy

Cuyl

Clyu

Cluy

Ycul

Yclu

Yulc

Yucl

Ylcu

Yluc

There are 24 different arrangements of the letters of Lucy's name. This is because there are 6 possible combinations for each letter starting of the arrangement i.e. there are six combinations of the arrangement starting with Y. There are 4 different letters in Lucy's name: 4 multiplied by 6 gives us 24.

Tharshan Baskaran 5N

Part 2

Investigate the number of different arrangements of the letters of Emma's name.

Below is a list of the different combinations of Emma's name:

Emma

Eamm

Emam

Meam