Combination problems

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[email protected]: Senior | Next Rank: 100 Posts; Posts: 62; Joined: Thu Jul 03, 2008 4:52 am

by [email protected] » Fri Aug 01, 2008 4:02 am

Hi

I know this is a combination problem but still not sure how to solve it, can anyone shed some light please?

7 basketball teams with five players each are at a tournament. If each player shakes hands with every other player NOT on his own team, how many
handshakes take place?

OA - 525

thanks again!

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Source: Beat The GMAT — Problem Solving | Fri Aug 01, 2008 4:02 am

pepeprepa: Legendary Member; Posts: 661; Joined: Tue Jul 08, 2008 12:58 pm; Location: France; Thanked: 48 times

by pepeprepa » Fri Aug 01, 2008 4:32 am

Here is how I do this, without combinations:
1st team: 5x30 (35guys less the 5 of the 1st team so 30 hands for each one)
2nd team: 5x25
3rd team: 5x20
4th team: 5x15
5th team: 5x10
6th team 5x5
7th team, already shaked every other guys

So 5x105

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