Hmmm...I never quite followed that one. In fact I was unable to do the Cracker Barrel peg game. I sat down and wrote a program to solve it. My program spit out solutions left and right.
I guess the Vulcan mind operates differently from the human mind.
So why not replace the ship’s computer with a team of Vulcans?
Probably because the vulcans were far to logical to ever agree to it ;-)