SOLUTION: The computer science department of a college consists of 3 lecturers and 6 students.A study tour is to be arranged.In how many ways can a party of three be chosen so as to include

Question 1133749: The computer science department of a college consists of 3 lecturers and 6 students.A study tour is to be arranged.In how many ways can a party of three be chosen so as to include at least one lecturer and one student? Show solution step by step
126
63
54
None
Answer by Shin123(626) (Show Source): You can put this solution on YOUR website!
The study tour MUST have a lecturer and a student.
Case 1: 1 lecturer and 2 students
3 choices for lecturer and (6*5)=30 choices for the students. 3*30=90.
Case 2: 2 lecturers and 1 student
(3*2)=6 choices for the lecturers and 6 choices for the student. 6*6=36 90+36=
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