Grading of laboratory reports is tedious

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In Exercise 1.1.6 the number of ways that all pairwise comparisons could be made among 10 people was determined by counting all of the events, and the answer was

 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45.

a. Use combinations to verify that answer.

b. Why do both procedures produce the same answer?

Exercise 1.1.6

The grading of laboratory reports is tedious, so a laboratory instructor decides that he will grade only a randomly chosen 2 of the 5 reports that each student has submitted.

If both are acceptable, the student will be given an A as his laboratory grade; if 1 is acceptable, he will receive a B; a C will be given if neither is acceptable.

a. How likely is a student to receive an A when he has submitted 5 acceptable reports? 4? 3? 2? 1? 0?

b. How likely is a student to receive a C when he has submitted 5 acceptable reports? 4? 3? 2? 1? 0?

Reference no: EM131939242

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