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Coursework Help

Could anyone show me how to do the following coursework

Mathematics GCSE. (COURSEWORK)

EMMA'S DILEMA TIERS I+H

Emma is playing with arrangements of the letters of her name

one arrangement is

EMMA

A different arrangement is

MEAM

Another arrangement is

AEMM

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

Emma has a friend named Lucy

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

choose some different names

3.) Investigate the number of different arrangements of the
letters of names you have chosen.

A number of Xs and a number of Y s are written in a row
such as

XX......XXYY.......Y

4.) Investigate the number of different arrangements of the
letters.