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A student is planning on taking four classes next semester. Because of the sched

ID: 3203902 • Letter: A

Question

A student is planning on taking four classes next semester. Because of the schedule conflict with his job, he can only take classes that start at 9am, 10am, 11am, 12pm, and 2pm. In how many ways can his schedule be arranged? (Assume that each class offers one section at each time slot A class contains 15 students. A sample of 3 students will be selected at random from the class to take a survey. How many different samples are possible? Three of the students in the class are Becky, Greg and Steven. What is the probability that the selected sample has at least one of the three students?

Explanation / Answer

As multiple questions are asked, only the 1st one will be answered.

1. As there are 5 slots available for 4 subjects,

we first choosethe 4 slots which can be used in 5C4 number of ways

and then we rearrange the slots among the subjects in 4! ways

Total number of arrangements = 5C4 * 4! = 5 * 4! = 120