7 people met at a business meeting. Each person shook hands with every other person. How many handshakes was exchanged?
Please explain how to do this. I think it is either Combination or permutation, Thanks!
2007-12-03 09:33:15 · 10 answers · asked by the worr e ore 5 in Science & Mathematics ➔ Mathematics
21.
Person A shook hands with the other 6
Person B shook hands five more times, not counting shaking with Person A.
Person C shook 4 more hands, not counting A or B.
D shook 3 more hands, not counting A, B, or C.
E shook 2 more.
And finally F shook hands with G.
6+5+4+3+2+1=21
2007-12-03 09:38:36 · answer #1 · answered by Expat Mike 7 · 0⤊ 0⤋
7+6+5+4+3+2+1=28
2007-12-03 09:36:20 · answer #2 · answered by Anonymous · 0⤊ 0⤋
For n persons the handshakes computation is:
S(n) = n(n-1)/2
So, for 7 persons => n =7
S(7) = 7(7-1)/2 = 7(6)/2 =21 handshakes
2007-12-03 09:45:23 · answer #3 · answered by frank 7 · 0⤊ 0⤋
1*6+1*5+1*4+1*3+1*2=6+5+4+3+2=20
2007-12-03 09:39:10 · answer #4 · answered by apparenteur 2 · 0⤊ 0⤋
You can count them easily enough.
Here are the handshakes:
1-2
1-3
1-4
1-5
1-6
1-7
2-3
2-4
2-5
2-6
2-7
3-4
3-5
3-6
3-7
4-5
4-6
4-7
5-6
5-7
6-7
There were 21 handshakes.
2007-12-03 09:37:19 · answer #5 · answered by lithiumdeuteride 7 · 0⤊ 0⤋
49 handshakes.
2007-12-03 09:37:58 · answer #6 · answered by Jamie Lee 3 · 0⤊ 0⤋
Combination by7 taken by2.
2007-12-03 09:40:44 · answer #7 · answered by Leonard B 2 · 0⤊ 0⤋
did they shake with one hand or both hands
2007-12-03 09:36:19 · answer #8 · answered by Abby L 3 · 0⤊ 0⤋
this is strange, i have this same exact question on my paper!
2007-12-04 22:00:12 · answer #9 · answered by word. 2 · 0⤊ 0⤋
www.cliffnotes.com
2007-12-03 09:35:32 · answer #10 · answered by Arjanna L 3 · 0⤊ 0⤋