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probability/permutation (1 Viewer)

Joined
Nov 18, 2006
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HSC
2007
What is the probability that in a random arrangement of the letters of the word MEALS

a) the consonants will come together?
B) the vowels will come at the ends?

i know it seems short and easy but that thing fucken pissed me off.
 
Joined
Apr 10, 2007
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First, total arrangements = 5! = 120

a) Stick the consonants together: 3! ways of arranging [MLS] E A and 3! ways of arranging the M L S in each of those

3! * 3! = 36 arrangements where the consonants appear together

36/120 = 3/10 is the probability if an arrangement is selected at random.

b) Stick the vowels at the ends: either E[MLS]A or A[MLS]E, and 3! ways of arranging the M L S for both of those

2 * 3! = 12 arrangements where the vowels appear at the ends

12/120 = 1/10 is the probability if an arrangement is selected at random.
 
Joined
Nov 18, 2006
Messages
31
Gender
Male
HSC
2007
princess and your male? lol.

ahh i see, ohhhhhhhhhh its 3! of MLS i thought all 3 MLS would represent as one and theres 4 spots left but that doesn't make sense lol ==

thanks man i hate thhese probability mother fucken shitz
 

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