Question 1 Coach Bennett's high school basketball team has 14 players, consisting of six juniors and eight seniors. Coach Bennet muscle like three players from the team to participate in a summer basketball clinic.
Part A- How many different groups of three players are possible for Coach Bennet to select? Select the correct answer from each drop down menu. This is a (combination/permutation) because the order in which the players are selected (is not/is) important. There are (364/42/154/2,184) different groups of three players possible for Coach Bennet to select.
Part B- Which two terms represent the number of groups of three players that are all juniors? (3,003/6C3/14C3/20/14C6/364)
Part C- Select the correct answer from each drop down menu. The probability that Coach Bennett will select three Juniors is (5.5/21.4/1.6/42.3)%. This probability is (less than/greater than/the same as) the probability that the coach will select three seniors.
Part D- Suppose Coach Bennett selects one senior and one junior as the first two players. The coach then randomly selects the third player from either group. Taylor and Jamie are both a juniors on the team. If Taylor is selected as one of the first two players what is the probability that Jamie will be selected as the third player?
Question 2
Part A- How many different orders of top three finishers are possible? Drag the tiles to the correct locations on the equation. Not all tiles will be used.
Part B- What is the probability that the top three finishers in the contest will all be seniors? How many different orders of top three finishers include all seniors? ​