A license plate is to consist of 33 digits followed by 44 uppercase letters. determine the number of different license plates possible if the first and second digits must be odd, and repetition is not permitted

Consider the first 2 digits There are 5 odd digits so number of ways for first 2 digits = 5P2 = 20

The third digit could be 0-9 so for the first 3 digits there are 20 * 10 = 200 ways

Number of ways to to get 4 uppercase letters = 26P4 = 358,800 ways

So Answer is 358,800 * 200 = 71,760,000