Purchase Solution

Working with some identical objects using permutations and combinations.

Not what you're looking for?

Ask Custom Question

Wing has different books to arrange on a shelf: 4 blue, 3 green, and 2 red.

(a) In how many ways can the books be arranged on a shelf?

(b) If books of the same color are to be grouped together, how many arrangements are possible?

(c) In how many distinguishable ways can the books be arranged if books of the same color are identical but need not be grouped together?

(d) In how many ways can you select 3 books, one of each color, if the order in which the books are selected does not matter?

Purchase this Solution

Solution Summary

Permutations and combinations are analyzed with regard to whether order of objects has importance.

Solution Preview

Suppose C(n,m)=n!/(m!*(n-m)!), P(n,m)=n!/(n-m)!
(a) We have 9 positions. We first choose 4 positions for 4 blue books and permutate them, then choose 3 positions in the rest 5 positions for 3 green ones and permutate, then put 2 red ...

Purchase this Solution

Free BrainMass Quizzes
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.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.