To create 3 digit numbers

The first place can be filled in 5ways only (from 1,2,3,4 or 5 let's say 5)
The second place can be filled in 5ways (from 0,1,2,3 or 4 let's say 1)
The third place can be filled in 4 ways ( from 0,2,3 or 4)
So total number of ways of creating 3digit numbers without repetition = 5x5x4 = 100

Exactly half of this will be Odd and half will be Even

Neo

first part is right, but the OA of second part is 60 and 40.

My bad

To Create 3 digit odd numbers
The last place can be filled in 3 ways 1,3,5 lets say 1

The first place can be filled in 4
The second place can be filled in 4ways
So total = 4x4x3 = 48

Which means there are 52 Even numbers

There are 6P3 - 5P2 numbers in all = 120 - 20 = 100 numbers.

Of this 4*4*3 = 48 are odd and 52 are even (same approach as Neo's)