190
20*19/2 = 190
66
3. AB, BC and CA.
9 handshakes correct answer is 10
4950 handshakes, that is the definite answer
4950
45 handshakes
190
20*19/2 = 190
You could never guarantee 1000 handshakes because the people may choose not to shake hands! If each person did shake hands with everyone else, then 46 people would suffice.
66
55 PeopleHandshakes10213346510615721828936104511551266
Each person will shake hands with every other person, except himself. If there are 25 people, each person will shake hands with 25-1 people, or 24. The number of times each person will shake hands with another, will be 25x24. The number of handshakes will be half of that, as each handshake is between two persons. The formula, in other words, is x(x-1)/2, where x is the number of people. With 25 people, it will be 25x24/2 = 300 handshakes.
So, there will be 3 handshakes among the 3 people at the party.
11*10/2 = 55
Sixty-six unique, distinct handshakes.