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  4. S = 0,2,4,6,8 . A natural number is said to be divisible by 2 if the digit at the unit place is an even number. The number is divisible by 5 , if the number at the unit place is 0 or 5 . If four numbers are selected from S and a four digit number ABCD is formed. The number of such numbers which are even (all digits are different) is

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Q. $S =\{0,2,4,6,8\}$. A natural number is said to be divisible by 2 if the digit at the unit place is an even number. The number is divisible by 5 , if the number at the unit place is 0 or 5 . If four numbers are selected from $S$ and a four digit number $ABCD$ is formed.
The number of such numbers which are even (all digits are different) is

Permutations and Combinations

Solution:

Correct answer is (b) 96