Serial numbers for a product are to be made using 3 letters followed by 3 numbers. If the letters are to be taken from the first
5 letters of the alphabet with no repeats and the numbers are taken from the digits 0 through 9 with repeats possible, how many serial numbers can be generated?
The first letter has 5 choices, second letter then has 4 choices, the third then has 3 choices. The first number has 10 choices, second number has 10 choices, third number has 10 choices.
So to find the total possibilities take 5*4*3*10*10*10 = 60,000
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)