Question

How many different odd five-digit numbers with unrepeated digits can be formed from the digits 0, 1, 3, 4, 5?

Answer 1

total unrepeated $5$ digit numbers are $=4\times 4\times 3\times 2\times 1=96$

in that the numbers where last digit is $0$ is $=24$

and the last digit 4 numbers are =18

therefore the answer $=96-24-18=54$