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There are 10 people in a room. If each person shakes hands with exactl
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VeritasKarishma
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Re: There are 10 people in a room. If each person shakes hands with exactl [#permalink] New post  24 Oct 2018, 04:41
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prabsahi wrote:
VeritasKarishma ,Chetan sir,

I need your help in this!!

I understood the explanation that you gave but this reminded me of an OG problem

There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played by 2 teams, what is the total number of games played?

A. 15
B. 16
C. 28
D. 56
E. 64

This problem I understand we have to make selection of 2 players out of 10..

So I was little confused ..isn't it similar to the handsake problem??

If Team A player say 8th player plays with the 7th player --that means 7th has played with 8th..(much like handsake problem)

The only difference is in handsake is done by 3 people and here game is played by two teams..

If I use that approach..which I am very tempted to..I land up with a wrong answer..

Can you please help me here?


Yes, the problems are similar, though not same. So you need to tweak the numbers a bit.

In the games problem, every team plays with "all" other teams (so each team plays with 7 other teams). In every game, exactly 2 teams are involved.
No of games = 8*7/2 = 28

In the handshake problem, every person shakes hands with 3 other people. In every handshake, exactly 2 people participate.
No of handshakes = 10*3/2 = 15
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prabsahi
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Re: There are 10 people in a room. If each person shakes hands with exactl [#permalink] New post  24 Oct 2018, 04:58
VeritasKarishma wrote:
prabsahi wrote:
VeritasKarishma ,Chetan sir,

I need your help in this!!

I understood the explanation that you gave but this reminded me of an OG problem

There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played by 2 teams, what is the total number of games played?

A. 15
B. 16
C. 28
D. 56
E. 64

This problem I understand we have to make selection of 2 players out of 10..

So I was little confused ..isn't it similar to the handsake problem??

If Team A player say 8th player plays with the 7th player --that means 7th has played with 8th..(much like handsake problem)

The only difference is in handsake is done by 3 people and here game is played by two teams..

If I use that approach..which I am very tempted to..I land up with a wrong answer..

Can you please help me here?


Yes, the problems are similar, though not same. So you need to tweak the numbers a bit.

In the games problem, every team plays with "all" other teams (so each team plays with 7 other teams). In every game, exactly 2 teams are involved.
No of games = 8*7/2 = 28

In the handshake problem, every person shakes hands with 3 other people. In every handshake, exactly 2 people participate.
No of handshakes = 10*3/2 = 15



Wow..This is perfect.

Thank you so much!!
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sanjayparihar16
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Posts: 96
Re: There are 10 people in a room. If each person shakes hands with exactl [#permalink] New post  11 Jul 2020, 02:55
shrive555 wrote:
There are 10 people in a room. If each person shakes hands with exactly 3 other people, what is the total number of handshakes?

15
30
45
60
120


Option given in this question has made our lives easy :D

Maximum number of handshakes can be 30 as 10 people with 3 handshake each can reach 10*3=30 handshake

Now there'll be repetitive cases and only option less than 30 is 15, so it should be 15

Keep it simple
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Re: 8 women of different heights are at a party. Each woman [#permalink] New post  18 Nov 2020, 06:58
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