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In how many different way could you choose two different letters from the letters M,A,T,H

Choices are:
a)12
b)24
c)6
d)18

i can't understand if someone could kindly explain this please.
 May 29, 2013
 #1
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MA
MT
MH
AM
AT
AH
TM
TA
TH
HM
HA
HT

first time you can choose 4
second time you can choose 3

total: 4*3=12 but, there are 2 (=2!) ways two letters can be arranged, so you have to divide by that. so (3*4)/2= 6

"from n choose r":
[input]ncr(4,2)[/input]
 May 29, 2013
 #2
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ma mt mh am at ah tm ta th hm ha ht
in total:24
 May 29, 2013

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