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what is the greatest number of colors the artist could have in her palette?

+1 vote
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An artist is planning on mixing together any number of different colors from her palette. A mixture results as long as the artist combines at least two colors. If the number of possible mixtures is less than 500, what is the greatest number of colors the artist could have in her palette?

posted Nov 26, 2014 by anonymous

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1 Answer

+3 votes

nC2 + nC3 + nC4 + ….. nCn <= 500
2^n – (nC0 + nC1 ) <= 500
Trying to solve the equation, 2^9 = 512 & 2^8 = 256
So n = 8 is the answer.

answer Dec 2, 2014 by anonymous



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