How many different ways can a group of students be hired to work a survey? The Statistics Survey Centre wishes to hire some undergraduates to help in a phone survey. On the call list are 6 second-year students, 3 third-year and 3 fourth-year students. Policy is to always hire at least one third year and one fourth year student. Other than that as many students as are needed can be hired without restriction.

Addyson Bright 2022-09-24 Answered
How many different ways can a group of students be hired to work a survey?
The Statistics Survey Centre wishes to hire some undergraduates to help in a phone survey. On the call list are 6 second-year students, 3 third-year and 3 fourth-year students. Policy is to always hire at least one third year and one fourth year student. Other than that as many students as are needed can be hired without restriction.
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Answers (1)

Wischarm1q
Answered 2022-09-25 Author has 7 answers
There are 2 12 ways to choose students.
There are 2 9 ways to choose students without choosing anyone that's third year.
There are 2 9 ways to choose students without choosing anyone that's forth year.
There are 2 6 ways to choose students without choosing anyone that's forth year or third year.
Therefore there are 2 12 2 × 2 9 + 2 6 = 3136 ways.
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