Emma's Dilemma

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Emma's Dilemma

Emma and Lucy are playing with arrangements of their names. One arrangement of Lucy is:

L U C Y

A different arrangement is: Y L C U

Our task is to experiment with the different combinations of the letters in the names Lucy and Emma and find any patterns which we can use to find different combination of words and numbers. There are three parts:

Part 1:

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

Part 2:

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

Part 3:

Investigate the number of different arrangements of various groups of letters.

Combination of Lucy

L

U

C

Y

LUCY

ULCY

CLUY

YLUC

LUYC

ULYC

CLYU

YLCU

LYCU

UCYL

CULY

YUCL

LYUC

UCLY

CUYL

YULC

LCUY

UYCL

CYLU

YCLU

LCYU

UYLC

CYUL

YCUL

Method

The method I used to find the combinations of LUCY was systematic. I knew that the name Lucy consisted