find the number of ways to distribute 18 balls, three each of six different colors, into...

find the number of ways to distribute 18 balls, three each of six different colors, into three boxes

Expert Solution

Thank you.

Colby Messinger answered 1 year ago

What is the number of ways to distribute 12 identical balls in 8 different urns, so...

What is the number of ways to distribute 12 identical balls in 8 different urns, so that two of the urns will contain together at least 10 balls?

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(A) A gum ball dispenser contains a large number of gum balls in three different colors, red, green, and yellow. Assuming that the gum balls are dispensed one at a time, describe an appropriate sample space for this scenario and list all possible events. Adetermined child continues to buy gum balls until he gets a yellow one. Describe an appropriate sample space in this case. (B) A brother and a sister arrive at the gum ball dispenser of the previous...

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This is a Combinatorics Problem Consider the problem of finding the number of ways to distribute 7 identical pieces of candy to 3 children so that no child gets more than 4 pieces. Except Stanley (one of the 3 children) has had too much candy already, so he’s only allowed up to 2 pieces. Write a generating function & use your generating function to solve this problem.

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Distribute 13 indistinguishable balls in 6 distinguishable urns. What is the number of distributions in which...

Distribute 13 indistinguishable balls in 6 distinguishable urns. What is the number of distributions in which the first three cells contain together AT LEAST 10 balls? What would be the answer if the balls were distinguishable?

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