perplexus.info :: General : 12 chairs

12 chairs (Posted on 2010-09-14)

If 9 people are seated in a row of 12 chairs, then at least one consecutive set of 3 chairs is occupied by people.

Prove it.

Submitted by Ady TZIDON

No Rating

Solution: (Hide)

The 3 empty chairs partition the filled chairs into 4 groups of consecutive filled chairs. Since 9/4>2, some group has at least 3 occupied chairs in a row.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(3): Sparseness .....spoiler	Ady TZIDON	2010-09-15 18:27:40
re(2): Sparseness .....spoiler	ed bottemiller	2010-09-14 19:22:09
solution	Justin	2010-09-14 13:28:23
re: Sparseness .....spoiler	Ady TZIDON	2010-09-14 12:51:56
Sparseness	ed bottemiller	2010-09-14 12:16:59

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info