scheol79 wrote:
A committee of three students has to be formed. There are five candidates: Jane, Joan, Paul, Stuart, and Jessica. If Paul and Stuart refuse to be in the committee together and Jane refuses to be in the committee without Paul, how many committees are possible?
A. 3
B. 4
C. 5
D. 6
E. 8
m10 q25
Given: A, B, C, D, AND E
C and D are not together
If A, then C
The committee consists of three
with A we have to include C; the third person can be B or E => (ACB) OR (ACE)
with B , we have to choose from C, D, E; in this C and D are not together CE or DE=>(BCE) or (BDE)
with C, we have to choose from D and E => not possible
Therefore, there are only 4 possibilities.