SOLUTION: There are 4 shut doors in front of you. You know that each door has an animal painted on one side and a plant painted on the other side. The four doors have the following painted o

Question 869388: There are 4 shut doors in front of you. You know that each door has an animal painted on one side and a plant painted on the other side. The four doors have the following painted on the sides that you can see (one per door): a lily, a pine tree, a fox, and an eagle. You have been told that these doors satisfy the rule "if a door has a flower on its plant side, then it has a bird on its animal side". What is the smallest set of doors that you must check the hidden side of to determine conclusively whether this rule is true or false for these doors?
a) All the doors
b) Just the door with the lily
c) Just the door with the eagle
d) Just the doors with the lily and the eagle
e) Just the doors with the lily and the fox
f) Just the doors with the lily, fox and eagle
g) Just the doors with the pine tree and eagle

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
All that you know for sure is that there are four doors with animals and plants on opposite sides.
You want to know for sure if all flowers have birds.
You don't know if the lily has a bird.
You don't know if the eagle has a flower.
You don't know if the plant for the fox is a flower
You don't care what animal is opposite the pine tree since you only care about flowers and birds.
So letter f) is the correct choice
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