# Can you specify who gets which post?

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Six people A, B, C, D, E, and F are given choice to choose for the following posts:
President
Vice president
Secretary
Treasurer
But they have some conditions:
F wants to be President if E is Vice president.
B does not want to be either President or Vice president.
E does not work if both A and B work.
D does not work if any of A and B works.
C works only if F works along with B.
Can you specify who gets which post?

posted Sep 15, 2015

F - President
E - Vice president
B - Secretary
C - Treasurer

Let F be the President, and complying with his conditions, E the Vice President.

B does not wish to be either the President, Vice-President, so he is most likely to be the Secretary or Treasurer. Let him be the Secretary.

Besides it will not violate E's condition who would not work if both A and B work, but can work with either of them.

D cannot be appointed as Treasurer, with in the work force. Hence the last option is C, whose conditions are compatible with the elected work force.

F - President
E - Vice President
B - Secretary
A - Treasurer

answer Sep 19, 2015 by anonymous

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