40 black beans, 40 blue beans, and 40 green beans are evenly mixed in a jar. What is the minimum number of beans you have to take out of the jar to ensure that at least 10 of the beans selected have the same color? : Crackverbal Support

40 black beans, 40 blue beans, and 40 green beans are evenly mixed in a jar. What is the minimum number of beans you have to take out of the jar to ensure that at least 10 of the beans selected have the same color? Print

Modified on: Tue, 12 Oct, 2021 at 12:26 PM

CONCEPT: The question is a word problem from arithmetic.

SOLUTION:

-To ensure that at least 10 beans selected are of the same color-

Choose 9 beans of BLACK

Choose 9 beans of BLUE

Choose 9 beans of GREEN

Hence total ways =9*3 +1 =28 to ensure a bean of each colour.
[9+9+9 to ensure you have 9 beans of each colour and the last 1 bean will complete the need of the question].Hence (A)

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40 black beans, 40 blue beans, and 40 green beans are evenly mixed in a jar. What is the minimum number of beans you have to take out of the jar to ensure that at least 10 of the beans selected have the same color? Print

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