371
38
There will be 28 handshakes. If you ask each person how many handshakes they had they will tell you 7 making 7 x 8 = 56 handshakes in all. But every hand involves two people, so every handshake has been counted twice, thus there are 56 / 2 = 28 handshakes in all.
If that happens you have to times ninexten and the answer would be 90 handshakes
If there are seven people, then the number of handshakes is 7*6/2 = 21
Ah, what a lovely thought! When each person shakes hands with every other person at the party, it creates a beautiful connection. In this case, with 3 people at the party, there will be 3 handshakes in total. Just imagine the joy and warmth shared in those simple gestures!
38
There will be 28 handshakes. If you ask each person how many handshakes they had they will tell you 7 making 7 x 8 = 56 handshakes in all. But every hand involves two people, so every handshake has been counted twice, thus there are 56 / 2 = 28 handshakes in all.
If that happens you have to times ninexten and the answer would be 90 handshakes
21 handshakes
If there are seven people, then the number of handshakes is 7*6/2 = 21
Sixty-six unique, distinct handshakes.
Ah, what a lovely thought! When each person shakes hands with every other person at the party, it creates a beautiful connection. In this case, with 3 people at the party, there will be 3 handshakes in total. Just imagine the joy and warmth shared in those simple gestures!
There were ten people at the party. This is a triangular sequence starting with two people: 1, 3, 6, 10, 15, 21, 28, 36, 45, etc. There's an equation for this. With n people at the party, the number of handshakes is n(n-1)/2.
107 unique handshakes will be exchanged
There were 40 people at the party. Let n be the number of people at the party. Each person shakes hands with every other person, so each person shakes hands with (n - 1) people, a possible total of n(n - 1) handshakes. But when person A shakes hands with person B, B also shakes hands with A, so each handshake would be counted twice. → number_of_handshakes = n(n - 1)/2 total number of handshakes is 780 → n(n - 1)/2 = 780 → n(n - 1) = 1560 → n^2 - n - 1560 = 0 As 1560 is negative, one factor is positive and one is negative, so we need the factor pair of 1560 which has a difference of 1, namely: 39 x 40 → (n - 40)(n + 39) = 0 → n = 40 or -39 There cannot be a negative number of people → there are 40 people present.
So, there will be 3 handshakes among the 3 people at the party.
29 People including You.