please fast and clear Using 1,2,3,4,5,6,7,8 how many 3-digit numbers can be written which are even...

Question

Question

Using 1,2,3,4,5,6,7,8 how many 3-digit numbers can be written which are even if repetition is not permitted? Select one: 24 1 please fast and clear

Answer 1

Answer #1

The number of even numbers are { 2,4,6,8} = 4

In the 3 digit number : _ _ _

If the number is even the last place should end with even number in 4C1 ways = 4

Second digit can be placed with any of the remaining numbers : 7C1 = 7 ways

And at last the first place can be arranged in 6 ways

So, the total number of ways are : 4*7*6 = 168

Answer : 168

Answer 2

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