Question

An integer between 100 and 999, inclusive, is chosen at random. What is the probability that all three digits of the number are different odd numbers?

Answer 1

9*9*8?

Answer 2

oh wait odd numbers
5*4*3?

Answer 3

how i think about these problems
the first number can either be 1,3,5,7,9
thats 5 different choices
since you picked a number for the first choice, that leaves 4 left
and for the 3rd number, 3 numbers are left

there are a total 999-100 numbers to choose from