There are 36 Master of Engineering students to assign to projects this year. Suppose project teams must consist of exactly 4 people. (a) How many different ways are there to construct a single project team? (b) Suppose that there are 16 men and 20 women students. How many different ways are there to construct a single project team consisting of 2 men and 2 women? Five cards are selected from a 52-card deck for a poker hand. Find the probability of the following poker hands. (a) Four of a kind. This is, four cards of the same denomination (e.g., Ace) and any other card. (b) One pair. That is, two cards of one denomination and three cards from three other denominations.