Can someone help me solve this riddle type thing?

Question

There are ten people sitting at a round table for a meeting. After the meeting everyone shakes hands with everyone EXCEPT the person to their left and the person to their right. How many handshakes take place?

Thanks physics that's what we thought!

Answer 1

Each person does not shake their ovn hand and the t eie of themselves. Therefore each person shakes hands with seven people.

Ten people shaking the hands of seven people each! Simple,

7 x 10 = 70 handshakes in total. But this is not the answer!

This includes all handshakes twice, so if you devide this answer by two you get the correct answer

ie 35 handshakes.

Answer 2

The first person shakes hands with seven people, seven handshakes take place. The second person shakes hands with six people. Six more take place. The third person shakes hands with five people. Five more take place. The fourth person shakes hands with four people. Four more hand shakes take place. The fifth person shakes hands with three people. Three more take place. The sixth person shakes hands with two people. Two more take place. The seventh person shakes hands with one person. One more handshake takes place. By now, everyone has shaken hands with everyone EXCEPT the person to their left and right.

7+6+5+4+3+2+1=28 handshakes

The answer of 70 is incorrect because we are not counting repetitions. If the first person shook hands with seven people, and the second did as well, then the two people could have shaken hands twice....

Oh crap, this introduces something new:
If the first person shook hands with seven people, the second can shake hands with seven people too, because the 2 people the first person did not shake hands with could have been one of the new people the second person shook hands with... Therefore, the answer may look something like: 7+7+7+6+4+3+2+1... not saying that this is necessarily the correct answer, but just that 7+6+5+4+3+2+1 does not include all the handshakes that took place in the room.

But one thing is guaranteed: Your answer will be greater than 28

new variable

Answer 3

7+6+5+4+3+2+1 = 28 handshakes

The first person to shake people's hands can shake hands with 7 possible people, right? (That's because he can't shake hands with himself, the person on his left, or the person on his right: 3 people in total.) The next person would also be able to shake hands with 7 people, but he already shook hands with the first person, so that means he can shake hands with 6 people. See the pattern? Now just add them all up, and you get the answer I did at the top.

Answer 4

Every one shakes hands with 7 people, so 70 handshakes.

Answer 5

a million) He took a photograph of his spouse. 2) a bathroom paper roll. 3) the extra youthful son rode far off from the lake. 4) He develop into strolling / driving a bicycle. 5) as a results of fact the respond is a Keyboard. There are keys, a "area" button, an "enter" button. 6) 5 cents. 7) she would be in a position to fill the hollow with sand slowly. 8) Nowhere. 9) A ton 10) they have a million, 2, and +. 11) Headache && Heartache. 12) they have vowels "a, e, i, o, and u" in an opposite order. 13) a.they could be capitalized. b. there is not any letter "e" 14) no longer something. :)

Answer 6

70? Each person shakes hands w/ 7 others and there are 10 ppl. (7X10=70)

Answer 7

Physics is right. it's 28.