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Refer to the following demographic information that has been collected by an ins

ID: 3135961 • Letter: R

Question

Refer to the following demographic information that has been collected by an instructor after surveying her class. Total number of students in the class 74 Number of boys Number of girls Number of Freshman Number of Sophomores Number of Juniors Number of Seniors Number of Science Majors Number of Non-Science Majors f the instructor chooses one student to pass out papers one student to clean the chalkboard, and one student to empty the trash, then how many ways can she do There are possible ways for the instructor to choose students for jobs 30 14 23 19 18 30 this if all three students are not the same sex and a student may do more than one job?

Explanation / Answer

Total possibilities = 74 * 74 * 74

Possibilities if all are boys = 44 * 44 * 44

Possibilities if all are girls = 30 * 30 * 30

Possibilities if all are not same sex = (74 * 74 * 74) - ((44 * 44 * 44) + (30 * 30 * 30))

= 293,040