A 4 digit number is picked. It's second digit is a prime number, it must be even and it must be greater than 5000. How many possible numbers can be picked?

This involves the product rule for counting. Step 1: Identify the possible numbers for the first digit 5, 6, 7, 8 or 9 (5 in total) Step 2: Identify the possible numbers for the second digit 2, 3, 5 or 7 (4 in total) Step 3: The third digit Any number (10 in total) Step 4: The final digit 0, 2, 4, 6 or 8 (5 in total) Step 5: Multiply the number of options to find the total number of possibilities. 5 X 4 X 10 X 5 = 1000 possibilities