Question

Serial numbers for a product are to be made using 3 letters followed by 2 digits. The letters are to be taken from the first 5 letters of the alphabet, with no repeats. The digits are taken from the 10 digits (0, 1, 2, ..., 9), with no repeats. How many serial numbers can be generated?

Answer 1

Answer:

Given that:

Serial numbers for a product are to be made using 3 letters followed by 2 digits. The letters are to be taken from the first 5 letters of the alphabet, with no repeats. The digits are taken from the 10 digits (0, 1, 2, ..., 9), with no repeats

Number of ways of choosing letters = 5 × 4 × 3

Number of ways of choosing 2 digits = 10 × 9

The number of serial numbers that can be generated = 60 × 90 = 5400

The number of serial numbers that can be generated = 5400