There are 12 players in a basketball team. In how many ways can a coach field a team of five players?
Answer (1)
Answer:The number of ways to choose r items from a set of n items (where order doesn’t matter) is given by the combination formula: nCr = n! / (r! * (n-r)!) where “!” denotes the factorial (e.g., 5! = 5 * 4 * 3 * 2 * 1)Applying the Formula: n = 12 (total number of players) r = 5 (number of players on the court) 12C5 = 12! / (5! * (12-5)!) = 12! / (5! * 7!) = (12 * 11 * 10 * 9 * 8) / (5 * 4 * 3 * 2 * 1) = 792Answer: There are 792 ways the coach can field a team of five players.
