Combinations and Permutations : Ways to paint the 10 identical rooms 5 colors; Find the egf for the number of ways to distribute r distinct objects into n boxes.
Not what you're looking for?
Exercise #1
A) How many ways are there to paint the 10 identical rooms in a hotel with five colors if at most three rooms can be painted green, at most three painted blue, at most three red, and no constraint on the other two colors, black and white.
B) Show that ...is the generating function for the number of ways a sum of r can occur if a die is rolled any number of times.
Exercise#2
A) Find the exponential generating function for the number of ways to distribute r distinct objects into n distinct boxes with no empty box. Consider n a fixed constant.
B) Determine is called a Stirling number of the second kind.
Please see the attached file for the fully formatted problems.
Purchase this Solution
Solution Summary
Ways to paint the 10 identical rooms 5 colors are investigated. The egf for the number of ways to distribute r distinct objects into n boxes is investigated. The solution is detailed and well presented.
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz
Some questions on probability
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.