Al says he can prove that all sheep in a flock are the same color: Base case: One sheep. It is… 1 answer below »

Al says he can prove that all sheep in a flock are the same color:

Base case: One sheep. It is clearly the same color as itself

Induction step: A flock of n sheep. Take a sheep, a, out. The remaining n − 1 are all the same color by induction. Now put sheep a back in and take out a different sheep, b. By induction, the n − 1 sheep (now with a) are all the same color. Therefore, all the sheep in the flock are the same color. What is wrong with Al’s “justification”?

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