Permutation of Letters
EMMA is investigating the amount of different arrangements of letters
in her name; she does the same with her friend LUCY. LUCY has twice as
many arrangements as EMMA, they are curious as to why this is and
decide to investigate other names and find reasons for their answers.
EMMA -
emma,
eamm,
emam,
aemm,
amme,
amem,
meam,
maem,
mame,
mema,
mmea,
mmea,
LUCY -
lucy,
luyc,
lycu,
lyuc,
lcyu,
lcuy,
ulcy,
ulyc,
uylc,
uycl,
ucly,
ucyl,
cluy,
clyu,
culy,
cuyl,
cyul,
cylu,
yluc,
ylcu,
yulc,
yucl,
yclu,
ycul,
[IMAGE]
24
[IMAGE]12
Emma has 12 combinations and Lucy has 24. ½ of 24 = 12 so Emma has
half the amount that Lucy has; this may be because Emma has 2 letters
the same. I will be investigating whther this happens to other names
as well.
I will Investigate -
· The amount of combinations for names with 2-10 letters
· What happens when those names have 2 letters the same
· What happens when they have 2,3,4,5 etc. letters the same
· Whether 3 letters the same means 1/3 of the combinations it would
have if no letters were the same
· Whether 4 letters the same means 1/4 of the combinations it would
have if no letters were the same (and 5, 6 ,7 etc.)
· Whether there are any patterns or rules to follow when estimating
amounts of combinations
· What happens when words have more than 1 letter twice (e.g. LIANNA)
2 letter - 0 same = 2
JO,
OJ
2 letters - 2 same = 1
DD
3 letters - 0 same = 6
Lucy is an amazing narrator for Damage Done. She is unpredictable and clever, keeping the reader on their toes. Lucy also tends to make good
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which, the Count lifts her up, and sits her in front of him on his
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