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A four-person congressional committee is to be formed consisting of two senators and two representatives. The senators are to be chosen from W, X, Y, and Z; the representatives are to be chosen from P, Q, R, and S. The committee will be chosen by the vice-president subject to the following conditions:

a. S will not serve on the committee unless X does.
b. Y will not serve on a committee with Q.
c. The vice-president has decided that Y or Z must be included, but neither Y nor Z is willing to serve with the other. 25.
d. If the vice-president chooses S to be on the committee, which of the following CANNOT be on the committee

Respuesta :

MathPhys

Answer:

W

Step-by-step explanation:

The conditions are:

  • S will not serve on the committee unless X does.
  • Y will not serve on a committee with Q.
  • The vice-president has decided that Y or Z must be included, but neither Y nor Z is willing to serve with the other.

If representative S serves on the committee, then senator X must also serve on the committee (1st condition).  The other senator must be either Y or Z (3rd condition).  So no matter who the vice-president chooses, senator W cannot be on the committee.

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