5. Alan, Becky, Jesus, and Mariah are four students in the chess club. If two of these students will be selected to represent the school at a national convention, how many combinations of two students are possible?

6. On a bookshelf, there are five different mystery books and six different biographies. How many different sets of four books can Emilio choose if two of the books must be mystery books and two of the books must be biographies? Justify your answer.

7. Three roses will be selected for a flower vase. The florist has one red rose, one white rose, one yellow rose, one pink rose, and one orange rose from which to choose.

What is the probability that three roses selected at random will contain 1 red rose, 1 white rose, and 1 pink rose?

*Use the division bar to enter a fraction. Ex) 1/2

8. Use the following information to answer questions

Three roses will be selected for a flower vase. The florist has one red rose, one white rose, one yellow rose, one pink rose, and one orange rose from which to choose.

What is the probability that three roses selected at random will not contain an orange rose?

*Use the division bar to enter a fraction. Ex) 1/2