Meet the Schlobodkins!!

Discrete Mathematics Level 2



A party is being held in the house of the Schlobodkins.There were 4 couples present in the house(other than Mr. and Mrs. Schlobodkin),and many,but not all,pairs of people shook hands.Nobody shook hands with anyone twice and nobody shook hands with his/her spouse.Both the host and the hostess shook some hands.

At the end of the party,Mr.Schlobodkin polls each person present to see how many hands each person(other than himself) shook.Interestingly each person gives a different answer.Determine the number of hands Mrs.Schlobodkin must have shaken.


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