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.
8
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.
28*27/2 = 378
28. The formula is (n * (n-1)) / 2, where n represents the number of people. You divde by 2 because each handshake covers two possibilities (ie, person #1 to person #8 is the same as person #8 to person #1).
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.
8
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.
1/2 of (29 x 28) = 29 x 14 = 406
The underlying assumption is that each person shakes the hand of each other person. If there are "n" people, each will shake the hands of "n-1" other people. To avoid counting double, the result has to be divided by 2. Therefor, the number of handshakes is equal to n(n-1)/2. Trying this out for several values of "n" should be faster than using the quadratic formula. (If you use the quadratic formula, you will probably get a positive and a negative solution - you can discard the negative solution.)
28*27/2 = 378
28. The formula is (n * (n-1)) / 2, where n represents the number of people. You divde by 2 because each handshake covers two possibilities (ie, person #1 to person #8 is the same as person #8 to person #1).
28 people each shook hands once...?
If there are 28 handshakes in a room, there must be 8 people present. Each person shakes hands with every other person once, so the total number of handshakes can be calculated using the formula n(n-1)/2, where n is the number of people in the room. Solving for n in this case gives you 8 people.
group of 1,2,4,7,14,28 people per table
28 minutes and 78 seconds
Eight (8) guests, each shaking hands with all the others,results in 28 unique, distinct meetings.We trust you enjoyed the small together, and that youcontinue yourself fortunate to have attached it.