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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Colby Messinger answered 2 years ago

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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In how many ways can you distribute 10 different balls into 4 different boxes, so there's...

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Consider two urns of balls: the first contains 5 different red balls numbered from 1 to...

Consider two urns of balls: the first contains 5 different red balls numbered from 1 to 5 and the second contains 4 different blue balls numbered from 1 to 4. You are asked to pick one ball from the first urn (i.e., the one with red balls) and one ball from the second urn (i.e., the one with blue balls). Each outcome has the form (r, b), where r denotes the number on the red ball and b denotes the...

4. How many different ways can you put 8 balls in 8 boxes A1, . ....

4. How many different ways can you put 8 balls in 8 boxes A1, . . . , A8 if (a) the balls are all different and no box is empty 8! (b) the balls are all different and only three boxes A1, A2 and A3 are empty (c) the balls are all different and exactly four boxes are empty (d) the balls are all different and each box is either empty or contains exactly two balls (e) the balls...

If each of n balls is placed at random in k urns, what is the probability...

If each of n balls is placed at random in k urns, what is the probability that exactly two urns remain empty?

This is a Combinatorics Problem Consider the problem of finding the number of ways to distribute...

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.

in how many ways can you distribute 13 identical pieces of candy to 5 children, if...

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In how many ways can we distribute 10 distinct balls into 5 distinct boxes with exactly...

In how many ways can we distribute 10 distinct balls into 5 distinct boxes with exactly 2 boxes empty?

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