I'm having trouble breaking down the solution for this problem. I think its poorly worded but was hoping someone may have some insight.
How many numbers less than $500$ can you make using the digits $0,2,4,6,8$?
Can't I have an infinite number of zeros?
Best Answer
The number $100x+10y+z<500$ can have an $x$ value of either $0,\,2$ or $4$ whereas $y$ and $z$ can be any of the five numbers (assuming negative numbers are excluded).
So there are $3\times5\times5=75$ possible numbers. (or $74$ in the case of positive numbers).