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Math Question...8th grade question?
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)
4 Answers
- Marley KLv 71 decade agoFavorite Answer
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! :)
- 1 decade ago
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! :)
- hottotrot1_usaLv 71 decade ago
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.