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An artist has exactly seven paintings --- ,T,U,V,W,X,Y, and Z -- from which she must choose exactly five to be in an exhibit. Any combination is acceptable provided it meets the following conditions:

* If T is chosen , X cannot be chosen
* If U is chosen , Y must also be chosen
* If V is chosen , X must also be chosen

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In a certain organization there are either men eligible to serve on a eligible to serve on a newly established commitee of four. The selection of the members is not an easy matter , however for there are jealousies and attachements among the candidates which prevents a free choice of four committeemen, if you were the president of the organization could you select a committee of four satisfying all these whims?

* Ames will serve with anybody
* Brown won't serve unless Clayton serves
* Clayton wont serve with Evans
* Davis wont serve without hughes
* evans will serve with anybody
* French wont serve with Davis unless Grant serves too, and wont serve with Clayton unless Davis also serves
* Grant wont serve with both Brown and Clayton and wont serve with either Ames or Evens
* Hughes wont serve unless either Brown or French serves and wont serve with Clayton unless Grant serves too and wont serve with both Ames and Evans
An artist has exactly seven paintings --- ,T,U,V,W,X,Y, and Z -- from which she must choose exactly five to be in an exhibit. Any combination is acceptable provided it meets the following conditions:

* If T is chosen , X cannot be chosen
* If U is chosen , Y must also be chosen
* If V is chosen , X must also be chosen