12 teams tournament

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sumithshah: Master | Next Rank: 500 Posts; Posts: 165; Joined: Wed May 28, 2008 11:25 pm; Thanked: 9 times; GMAT Score:730

by sumithshah » Wed Aug 20, 2008 4:01 am

If each of the 12 teams participating in a certain tournament plays exactly one game with each of the other teams, how many games will be played?

A. 144 B. 132 C. 66 D. 33 E. 23

I thought it would be 12+11+... until 2 - but seems not.

Can someone throw some light on this.

OA C

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Source: Beat The GMAT — Problem Solving | Wed Aug 20, 2008 4:01 am

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

by pepeprepa » Wed Aug 20, 2008 4:05 am

You are not far, just draw 12 balls and join them if you are not sure.
Indeed, that is
11+ 10 + ... + 1

For calculating this sum use that: n(n+1)/2
11*12/2=66

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