. (a) A sack contains 50 marbles of 4 different colors. Explain why there are at least 13 marbles of the same color. (b) If exactly 8 of the marbles are red, explain why there are at least 14 of the same color.

College Algebra
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Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 45SE: An art store has 4 brands of paint pens in 12 different colors and 3 types of ink. How many paint...
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(a) A sack contains 50 marbles of 4 different colors. Explain why there are at least 13 marbles of the same color.

(b) If exactly 8 of the marbles are red, explain why there are at least 14 of the same color.
Transcribed Image Text:2. (a) A sack contains 50 marbles of 4 different colors. Explain why there are at least 13 marbles of the same color. (b) If exactly 8 of the marbles are red, explain why there are at least 14 of the same color.
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