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

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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) About Me  (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= highlight%28126%29