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After every get-together every person present shakes the hand of every other person. If there were 105 handshakes in all, how many persons were present in the party?
Answer & Solution
Correct Answer:
Option
B
Let total number of persons present in the party be x,
Then,
$$\eqalign{
& \frac{{x \times \left( {x - 1} \right)}}{2} = 105 \cr
& x = 15 \cr} $$
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