Handshake Problem or Something Else!!

Let p and q be two people in the room, where q is taller than p.

So q can shake hand with p but p can't shake hand with q as q is taller. So, no handshakes are possible

Let A and B be two people in the room, where A is shorter than B.

So B can shake hand with A but A can't shake hand with B because B is taller. So, no handshakes are possible

Count from the shortest person. He cannot shake hands with anybody since there will be no other person shorter than him. The second shortest person has to shake hands with the shortest person, who is not allowed to shake hands with a person taller than him. So, there will be no handshakes between the first two. So, this condition ultimately doesn't allow any person, even the tallest, to shake hands.

Since we dont know the size of everyone who was there , we cant calculate anything .

I think the key is on the third line " one can shake hand with the person who is smaller than him " . Small isn't for height right?

So zero is the most possible answer lol ...