Probability Involving Combinations
‘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
So basically I had to investigate how the number of permutations for
words alters depending on the letters that make up that word, starting
off with looking at Lucy and then comparing it to Emma, and after that
extending it to look at any word with various letters. I aim to
produce a formula to produce the number of permutations.
Part $#$#2$#$#- Investigating Lucy:
The name Lucy comprises of four different letters that we can quite
simply rearrange to produce a number of arrangements. Firstly I worked
out the number of arrangements that I could get from the letters of
‘Lucy’:
LUCY LUYC LYUC
LYCU LCUY LCYU
ULCY ULYC UCLY UCYL