The names of 10 fifth graders, including the top math and the top spelling student in the fifth grade class are placed in a
hat and randomly selected to sit on the stage with the governor for his visit to the school Use this information in question
60.

Five students are randomly selected to join the governor.

a. ln how many ways can 5 students be selected for first chair, second chair, third chair, fourth chair, and fifth chair from the
governor for this occasion?

b. ln how many ways can three more students be selected forthe third, fourth, and fifth chairs. if the top math student is to
sit in the first chair and a different student who is the top spelling student is to sit in the second chair?

c. What is the probability. to two decimal places, that the top math student will sit in the first chair and the top spelling
student will sit in the second chair?