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

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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?

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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?