In a party every person shakes hands with every other person. If there were a total of 105 handshakes in the party then what is the number of persons present in the party ?  Choose the most appropriate option.
A) 15
B) 16
C) 17
D) 18
E) 19
Explanation :   Let the number of persons be n   âˆ´ total handshakes = nC2 = 105   n(n-1)/2 = 105 âˆ´ n = 15   15nswer : 15
<result>A</result>
In a party every person shakes hands with every other person. If there were a total of 105 handshakes in the party then what is the number of persons present in the party ?