Question 11
There are three positive integers. The first is a two-digit number which consists of two identical digits. The second one is a two-digit number which consists of two different digits, and its units digit is the same as that of the first number. The third one is a one-digit number which consists of only one digit, which is the same as the tens digit of the second number. Exactly two of these three numbers are prime numbers. In how many different ways can the three positive integers be chosen?