1.How many positive integers five-digit integers end with the digit 0? 9x10x10x10x? what number would represent zero

Question

2.Using the digits {1,2,5,6,7,9} and not allowing repetition of digits, how many positive three-digit integers can be made that are larger than 500? 9x5x4
3.Assume that a license plate consists of 3 letters followed by 3 digits (the first of which cannot be 0). How many such license plates can be made? (dont know how)

Answer 1

1. ok
2. ok
3. 26^3 * 9*10^2

Answer 2

for number 3 why do you times both?

Answer 3

think about it. For every combination of 3 letters (26^3), there are 900 ways to choose the following 3 digits.