nine people gather for a meeting each person shakes hand with every other person exactly once how many handsha

Question

hand shakes will take place is this permutation or combination

Answer 1

above answer is way wrong

round robin is a * (a-1) / 2 = 9 * 8 / 2 = 36

Answer 2

nope perk, it's not 9*8 because thats repeating handshakes twice each. its actually:

8+7+6+5+4+3+2+1 = X

because the don't shake more than once.

Now just solve for X. and look up if its a permutation or combination on your own. thats the easy part and you should be doing THAT part of your homework without help

Answer 3

If person A shakes hands with person B, is that the same as person B shaking hands with person A? I would say yes. So the 1st person shakes hands with 8 people, the 2nd person with 7 (new) people, etc. So it would be 8+7+...+1 = 8*9/2 = 36. [It's well-known that 1 + 2 + ... + n = n*(n+1)/2]

Answer 4

Each of nine people shakes hands with eight others; that is seventy-two people shaking hands with someone else, but remember that it takes two people to shake hands each time - we have counted each hankshake twice. That means there were one half of 72 handshakes, or 36 handshakes occurred at the meeting.

Answer 5

Prolly 8 times 9 =72

Unless, the shaker, shakes his own hand also which would be 9x9=81

If he shakes his booty while shaking hands...prolly like 2902423432.3094230423904234

Answer 6

combination, order is not important here.

Each person is shaking hands with 8 others. 9X8=72

yup, my bad, trying to answer too quick

Answer 7

this is to easy. the answer is 36