Directions:Questions are based on the following passage: Nine individuals Z, Y, X, W, V, U, T, S and R are the only candidates who can serve on three Committees A, B and C and each candidate should serve on exactly one of the Committees. Committee A should consist of exactly one member more than Committee B. It is possible that there are no members of Committee C. Among Z, Y and X none can serve on Committee A. Among W, V and U none can serve on Committee B. Among T, S and R none can serve on Committee C. In case T and Z are the individuals serving on Committee B, how many of the nine individuals should serve on Committee C?
Step-by-step Solution:
Given: Nine people Z,Y,X,W,V,U,T,S,R. Each serves on exactly one of A,B,C. A has exactly one more member than B. Some cannot serve on certain committees:
We are told T and Z are the individuals serving on B (so B has exactly those two: T and Z).
Let sizes be a=|A|, b=|B|, c=|C|. Then a=b+1 and a+b+c=9, so c=8-2b.
Since B contains exactly T and Z, b=2. Thus c=8-2·2=4.
Answer: 4