Question
Asked Sep 17, 2019
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A bowl containes 8 red balls, and 9 blue balls, and you draw 4 balls.

In how many ways can the selection be made so that at least one of each color is drawn

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Expert Answer

Step 1

A bowl contains 8 red balls, and 9 blue balls, and I have to draw four ball in such a way that selection each draw contains at least one of each colour.

Step 2

Now, determine the ways in which you would have at least one ball of each colour with four balls drawn from bowl of 8 red ball and 9 blue balls. Then

3 red balls and 1 blue ball
2 red balls and2 blue balls
1 red balls and 3 blue balls
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3 red balls and 1 blue ball 2 red balls and2 blue balls 1 red balls and 3 blue balls

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Step 3

Now, there are three scenarios for drawing at least one colour of each ball. ...

C, xC56x9 504
C, x C, = 28x 36 = 1008
C, x C 8x84 = 672
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C, xC56x9 504 C, x C, = 28x 36 = 1008 C, x C 8x84 = 672

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