This isn't homework. Please tell me the answers or at least give me a formula. 1. The numbers from 1 to 64 are randomly made into 32 pairs with each number used exactly once. How many different sets of 32 pairs can be made with the order not mattering within the pair (1, 5 and 5, 1 are the same)? I expect this number is really big and this is less important to me than Question 2 although it might be useful in solving Question 2. 2. For a subset of two numbers from the 64, the probability that they will be paired together is 1/63. As the amount of numbers in the subset increases, the probability that at least 1 of the 32 pairs will have both numbers in the subset increases. Solve for X where any subset of X or more numbers has greater than a 50% chance at including both numbers in at least 1 of the 32 pairs.