Using the digits {1, 2, 3, 5, 7, 9}, how many distinct four-digit even numbers can be created?

Explanation

The digits provided are 1, 2, 3, 5, 7, and 9. Since the number must be even, the last digit can only be 2, as it is the only even digit available. The units place is fixed with '2', and the remaining three places are to be filled from the other five digits without repetition. The number of ways to arrange these three digits is given by 5P3, which equals 60. Therefore, there are 60 such four-digit even numbers.