Every person shakes hand with each other in a party and the total number of handshakes is The number of persons in he party is:

The correct answer is (c).

The number of handshakes is equal to the number of people in the party multiplied by the number of people in the party minus one, divided by two. This is because each person shakes hands with everyone else in the party, except for themselves. So, if there are $n$ people in the party, the number of handshakes is $n(n-1)/2$.

In this case, the total number of handshakes is 22. So, there must be 11 people in the party.

Option (a) is incorrect because 11 is not divisible by 2.

Option (b) is incorrect because 12 is not divisible by 2.

Option (d) is incorrect because it is not one of the possible answers.