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
Multiplying Complex Numbers

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

Graphs and Functions

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

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Probability Quiz

Some questions on probability

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.