Which statement and explanation about the product of a 3-digit number and a 2-digit number is correct? a. the product always has 4 digits. the least 3-digit number is 100, and the least 2-digit number is 10. the product of 100 and 10 has 4 digits, so any product of a 3-digit and a 2-digit number must have 4 digits. b. the greatest number of digits in the product is 6. the greatest 3-digit number is 999, and the greatest 2-digit number is 99. the product of 3 digits and 2 digits equals 6 digits, so no product of a 3-digit and a 2-digit number can have more digits. c. the product always has 5 digits. the greatest 3-digit number is 999, and the greatest 2-digit number is 99. the product of 999 and 99 has 5 digits, so any product of a 3-digit and a 2-digit number must have 5 digits. d. the greatest number of digits in the product is 5. the greatest 3-digit number is 999, and the greatest 2-digit number is 99. the product of 999 and 99 has 5 digits, so no product of a 3-digit and a 2-digit number can have more digits.