A software engineer creates a LAN game where an 8 digit code made up of 1,2,3,4,5,6,7,8 has to be decided on, universal code . There is a condition that each number has to be used a and no number can be repeated . What is the probability that first 4 digits of the code are even numbers ?

Total digits = 8 Even digit = 4 ( 2 , 4 , 6 , 8) Odd digit = 4 ( 1 , 3 , 5 , 7) 1st 4 even digit combination = 4! then last 4 digit odd combination = 4! Probability = 4! * 4 ! /8 = 4 * 3 * 2 / (8 * 7 * 6 * 5) = 1/70

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