6 people are sitting around a circular table shake hands without crossing. How many ways can the table have people shake hands? (picture of a circle with 6 points around it showing people was provided)
2007-12-22 07:58:21 · 4 answers · asked by Amber 4 in Education & Reference ➔ Homework Help
It's six. Look at it this way: It would be 12 if you count every person shakes two people's hands, that's true. BUT, that is counting A with B and then again B with A. So, it duplicates answers. If you draw the 6 points and then enclose each pair that shakes hands, you will see that it is exactly six.
that's it! :)
2007-12-22 08:11:52 · answer #1 · answered by Marley K 7 · 0⤊ 0⤋
15. If you want/need to show your work, do this... From each person in the picture provided, draw a line to each other person, starting at person 1. So 1 would shake hands with: 2, 3, 4, 5, and 6. Then do this with 2; would shake hands with 3,4,5,6 (already shook one's hand). I think you get the point so, do this with persons 3, 4, 5, and 6.
Hope that helps! :)
2007-12-22 16:12:57 · answer #2 · answered by Aleesh 2 · 0⤊ 0⤋
12
2007-12-22 16:06:15 · answer #3 · answered by =] 1 · 0⤊ 0⤋
15 ways
Lets say that the people are named A, B,C, D, E and F. So, here are the pairs:
AB AC AD AE AF BC BD BE BF CD CE CF DE DF EF
ok. 15.
2007-12-22 16:17:08 · answer #4 · answered by hottotrot1_usa 7 · 0⤊ 0⤋