required information\nlicense plates in a certain state consist of three letters followed by three…

Explanation:

Step1: Calculate letter combinations

There are 26 letters in the English alphabet, and we choose 3 with repetition allowed. The number of combinations is $26 \times 26 \times 26 = 26^3$. $26^3 = 17,576$

Step2: Calculate digit combinations

There are 10 digits (0-9), and we choose 3 with repetition allowed. The number of combinations is $10 \times 10 \times 10 = 10^3$. $10^3 = 1,000$

Step3: Multiply the two results

To find total license plates, multiply the number of letter combinations by digit combinations. $17,576 \times 1,000 = 17,576,000$

Answer:

17576000