Mathematics: Probability Test

Question

A burger chain wants to send codes for a free small drink to the members of its kids club. The coupon code will have one letter, followed by two digits, followed by two letters. The letters R, S, T, and U and the digit 3 will NOT be used. So, there are 22 letters and 9 digits that will be used. Assume that the letters and digits can be repeated. How many such coupon codes can be generated?

Answer 1

For each of the 3 places where there is a letter (positions 1, 4 and 5), there are 22 choices. The other two places will have digits for which there are 9 choices.

Answer: 22*9*9*22*22 = 862488