1. The problem statement, all variables and given/known data In how many different ways can the top two positions be filled in a table tennis competition of 7 teams? How many 3-digit numbers can be formed using the digits 2, 3, 4, 5, and 6: a) as often as desired? b) once only? 2. Relevant equations 3. The attempt at a solution I can find the solution using the long way, but I'm wondering if there is a more logical and mathematical way to approach these equations?