SOLUTION: how many different combination can be made of the letters a,b,c,d,e,f,g,h taken 4 at a time

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Question 763225: how many different combination can be made of the letters a,b,c,d,e,f,g,h taken 4 at a time
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
4 letters can be chosen from 8 in "8 choose 4" or C(8,4) ways
which is given by the formula
(8*7*6*5)/(1*2*3*4) = 70 ways
For each of these selections, the set of 4 letters can be arranged in 4! = 24 ways.
Hence number of different combinations = 70*24 = 1680

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