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8 people.

I mean, if four other couples were invited, then 4*2 = 8

Yes, I excluded Mr. Smith.

Btw, the answer isn't 8.

isn't it 0 and 8 as max/min
you can't shake your own hand nor your spouse, which leaves 8 people

he received a different answer from everyone...0 thru 8 gives 9 different answers
right

That's exactly the conclusion to make. Good work so far.

Perhaps another leading question. How many people shook hands 8 times? How many 0 times?

Can you figure out how many times his wife shook hands?

Suppose she did shake 8 times. Who would have shaken 0 times?

oh duh, haha ok so not 8

Correct again!

haha :P
these are fun...takes me awhile to visualize the problem