SOLUTION: The digits 4,5,6,7 and 8 are randomly arranged to form a three digit number(Digits are not repeated) Find the probability that the number is even and greater than 800.

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Question 1006120: The digits 4,5,6,7 and 8 are randomly arranged to form a three digit number(Digits are not repeated) Find the probability that the number is even and greater than 800.
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
The digits 4,5,6,7 and 8 are randomly arranged to form a three
digit number(Digits are not repeated) Find the probability that
the number is even and greater than 800. 
The denominator of the probability is 5P3 = 5*4*3 = 60

The numerator is: choose the 1st digit as 8 one way, the last 
digit 2 ways (4 or 6) and the middle digit any of the remaining 
3 ways:

1*2*3 = 6 

Answer: the probability is 6 ways out of 60 = 6/60 = 1/10

Edwin
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