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marcodonzelli
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In Finn's preschool class, each student is assigned a unique 10 Mar 2008, 10:11
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In Finn's preschool class, each student is assigned a unique color palette of 3
colors for a finger-painting project. Different students may have 1 or 2 colors in
common, but no 2 students have the same 3 colors. If there are 10 students in
the class, how many different colors are required?

4
5
6
7
8



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bmwhype2
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In Finn's preschool class, each student is assigned a unique 10 Mar 2008, 11:16
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why are we choosing 3?
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marcodonzelli
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In Finn's preschool class, each student is assigned a unique 10 Mar 2008, 12:56
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maratikus
marcodonzelli
In Finn's preschool class, each student is assigned a unique color palette of 3
colors for a finger-painting project. Different students may have 1 or 2 colors in
common, but no 2 students have the same 3 colors. If there are 10 students in
the class, how many different colors are required?

4
5
6
7
8

B: 5
5C3 = 10
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strong B marakitus. anyway, can you help me understand the sense of "Different students may have 1 or 2 colors in common, but no 2 students have the same 3 colors"?thanks
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maratikus
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In Finn's preschool class, each student is assigned a unique 10 Mar 2008, 13:25
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marcodonzelli

anyway, can you help me understand the sense of "Different students may have 1 or 2 colors in common, but no 2 students have the same 3 colors"?thanks
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marcodonzelli, if you have a unique 3 color code - it means that the combination of all 3 colors makes it special. if you have red, blue and black, i have red, blue and yellow - our 3 color codes are still unique even though we share two colors. The problem definition is too wordy, a unique 3 color palette (3 color set) should be sufficient. That implies that students can share some of the colors but not all 3 colors. does that make sense now?
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In Finn's preschool class, each student is assigned a unique 10 Mar 2008, 13:36
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maratikus
marcodonzelli

anyway, can you help me understand the sense of "Different students may have 1 or 2 colors in common, but no 2 students have the same 3 colors"?thanks

marcodonzelli, if you have a unique 3 color code - it means that the combination of all 3 colors makes it special. if you have red, blue and black, i have red, blue and yellow - our 3 color codes are still unique even though we share two colors. The problem definition is too wordy, a unique 3 color palette (3 color set) should be sufficient. That implies that students can share some of the colors but not all 3 colors. does that make sense now?
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that does make sense but im not sure how that helps me to approach the problem.

if it said a color code cannot share more than 1 color, how would that change the approach and outcome?
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In Finn's preschool class, each student is assigned a unique 10 Mar 2008, 14:01
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bmwhype2
if it said a color code cannot share more than 1 color, how would that change the approach and outcome?
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that would be a very different problem. then 2 color code would be enough. 5C2 = 10 -> 5 colors used for color coding + some additional colors as third colors.
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In Finn's preschool class, each student is assigned a unique 15 Mar 2008, 03:29
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maratikus
marcodonzelli

anyway, can you help me understand the sense of "Different students may have 1 or 2 colors in common, but no 2 students have the same 3 colors"?thanks

marcodonzelli, if you have a unique 3 color code - it means that the combination of all 3 colors makes it special. if you have red, blue and black, i have red, blue and yellow - our 3 color codes are still unique even though we share two colors. The problem definition is too wordy, a unique 3 color palette (3 color set) should be sufficient. That implies that students can share some of the colors but not all 3 colors. does that make sense now?
Show more

that's clear now, kudo



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