SOLUTION: On a meeting, every guest shakes hands, exactly once, with every other guest. There are 36 handshakes between the ladies and 28 between the gentlemen. The number of handshakes betw

Question 727884: On a meeting, every guest shakes hands, exactly once, with every other guest. There are 36 handshakes between the ladies and 28 between the gentlemen. The number of handshakes between a gentleman and a lady is what?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
In a group of people, if every person shakes hands with every other person exactly once, each person would report handshakes, and you would get a total of such reports. That number would be double the number of handshakes, because it handshake would be reported twice, with one report by each of the two handshakers involved.

If there were 36 handshakes between the ladies,
--> --> --> --> . There are ladies.
If there were 28 handshakes between the gentlemen,
--> --> --> --> . There are gentlemen.

Each of the 9 ladies shakes hands with each of the 8 gentleman for a total of
handshakes between a lady and a gentleman.

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