Seven orbs - Revision history

Oscarlevin at 19:32, 11 October 2010

2010-10-11T19:32:21Z

← Older revision		Revision as of 13:32, 11 October 2010
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	{{Needs answer}}		{{Needs answer}}
	{{Solution \|		{{Solution \|
	Let A be set of orbs for which there are 3 or more others the same colour.		Let A be the set of orbs for which there are 3 or more others the same colour.

	Let B be set of orbs for which there are 1 or 2 others the same colour.		Let B be the set of orbs for which there are 1 or 2 others the same colour.

	Let X be set of orbs for which there are no others the same colour.		Let X be the set of orbs for which there are no others the same colour.

	Goal is to prove that some orb is in A.		Goal is to prove that some orb is in A.

Oscarlevin at 19:30, 11 October 2010

2010-10-11T19:30:05Z

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 {{Needs hint}}
 {{Needs answer}}
-{{Needs solution}}
+{{Solution |
 ==References==

Oscarlevin at 01:26, 8 June 2010

2010-06-08T01:26:20Z

← Older revision		Revision as of 19:26, 7 June 2010
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	==Puzzle==		==Puzzle==

	You enter a magical cave to find seven orbs. A wizard tells you that each orb is colored on the inside, and that four or more of the orbs have the same color. Also, when two orbs of the same color are brought into contact with each other, they will glow, revealing the color. If two orbs touch but have different color, nothing happens. The orbs are heavy, so you can only touch two at a time. What is the least number of comparisons needed to find one of the orbs of the majority color?		You enter a magical cave to find seven orbs. A wizard tells you that each orb is colored on the inside, and that four or more of the orbs have the same color. Also, when two orbs of the same color are brought into contact with each other, they will glow, revealing the color. If two orbs touch but have different color, nothing happens. The orbs are heavy, so you can only touch two at a time. What is the least number of comparisons needed to find one of the orbs of the majority color?


	==Help==		==Help==
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	{{Needs solution}}		{{Needs solution}}

			==References==

	~~==Source==~~		{{Problem Solving}}

	~~From PProblem SSSolving, wherein it is called "Cave of Wonders."~~


	[[Category:Comparison puzzles]]		[[Category:Comparison puzzles]]
	[[Category:Cases]]		[[Category:Cases]]

Oscarlevin at 14:34, 16 May 2010

2010-05-16T14:34:37Z

← Older revision		Revision as of 08:34, 16 May 2010
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			==Puzzle==

	You enter a magical cave to find seven orbs. A wizard tells you that each orb is colored on the inside, and that four or more of the orbs have the same color. Also, when two orbs of the same color are brought into contact with each other, they will glow, revealing the color. If two orbs touch but have different color, nothing happens. The orbs are heavy, so you can only touch two at a time. What is the least number of comparisons needed to find one of the orbs of the majority color?		You enter a magical cave to find seven orbs. A wizard tells you that each orb is colored on the inside, and that four or more of the orbs have the same color. Also, when two orbs of the same color are brought into contact with each other, they will glow, revealing the color. If two orbs touch but have different color, nothing happens. The orbs are heavy, so you can only touch two at a time. What is the least number of comparisons needed to find one of the orbs of the majority color?

Oscarlevin at 16:28, 12 May 2010

2010-05-12T16:28:00Z

@@ Line 1: / Line 1: @@
 From PProblem SSSolving, wherein it is called "Cave of Wonders."
 [[Category:Comparison puzzles]]
 [[Category:Cases]]

Oscarlevin at 18:42, 12 April 2010

2010-04-12T18:42:15Z

← Older revision		Revision as of 12:42, 12 April 2010
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	==Puzzle==		==Puzzle==

			<onlyinclude>
	You enter a magical cave to find seven orbs. A wizard tells you that each orb is colored on the inside, and that four or more of the orbs have the same color. Also, when two orbs of the same color are brought into contact with each other, they will glow, revealing the color. If two orbs touch but have different color, nothing happens. The orbs are heavy, so you can only touch two at a time. What is the least number of comparisons needed to find one of the orbs of the majority color?		You enter a magical cave to find seven orbs. A wizard tells you that each orb is colored on the inside, and that four or more of the orbs have the same color. Also, when two orbs of the same color are brought into contact with each other, they will glow, revealing the color. If two orbs touch but have different color, nothing happens. The orbs are heavy, so you can only touch two at a time. What is the least number of comparisons needed to find one of the orbs of the majority color?
			</onlyinclude>
	[[Category:Comparison puzzles]]		[[Category:Comparison puzzles]]
	[[Category:Cases]]		[[Category:Cases]]

Oscarlevin at 16:35, 30 March 2010

2010-03-30T16:35:19Z

← Older revision		Revision as of 10:35, 30 March 2010
Line 5:		Line 5:
	You enter a magical cave to find seven orbs. A wizard tells you that each orb is colored on the inside, and that four or more of the orbs have the same color. Also, when two orbs of the same color are brought into contact with each other, they will glow, revealing the color. If two orbs touch but have different color, nothing happens. The orbs are heavy, so you can only touch two at a time. What is the least number of comparisons needed to find one of the orbs of the majority color?		You enter a magical cave to find seven orbs. A wizard tells you that each orb is colored on the inside, and that four or more of the orbs have the same color. Also, when two orbs of the same color are brought into contact with each other, they will glow, revealing the color. If two orbs touch but have different color, nothing happens. The orbs are heavy, so you can only touch two at a time. What is the least number of comparisons needed to find one of the orbs of the majority color?

	[[Category:Comparison ~~puzzle~~]]		[[Category:Comparison puzzles]]
	[[Category:Cases]]		[[Category:Cases]]

Oscarlevin: Created page with 'From PProblem SSSolving, wherein it is called "Cave of Wonders." ==Puzzle== You enter a magical cave to find seven orbs. A wizard tells you that each orb is colored on the ins…'

2010-03-30T16:30:35Z

Created page with 'From PProblem SSSolving, wherein it is called "Cave of Wonders." ==Puzzle== You enter a magical cave to find seven orbs. A wizard tells you that each orb is colored on the ins…'

New page

From PProblem SSSolving, wherein it is called "Cave of Wonders."

==Puzzle==

You enter a magical cave to find seven orbs. A wizard tells you that each orb is colored on the inside, and that four or more of the orbs have the same color. Also, when two orbs of the same color are brought into contact with each other, they will glow, revealing the color. If two orbs touch but have different color, nothing happens. The orbs are heavy, so you can only touch two at a time. What is the least number of comparisons needed to find one of the orbs of the majority color?

[[Category:Comparison puzzle]]
[[Category:Cases]]