   Chapter 14.CR, Problem 2CC ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# (a) What is a permutation of r elements of a set? How many permutations are there of n objects taken r at a time?(b) In how many different ways can a president, vice-president, and secretary be selected from a group of 15 students?

To determine

(a)

To explain:

The permutation of r elements of a set, and find number of permutation of n objects taken r at a time.

Explanation

Approach:

A permutation of a set of object is an ordering of these objects. If the set has r objects, then there are r! permutations of the objects.

If a set has n objects, then the number of ways of ordering the r elements subset of the set is denoted P(n,r) and is called the number of permutation of n objects taken r at a time and given by,

P(n,r)=

To determine

(b)

To find:

The number of ways to choose president, vice-president, and secretary from a group of 15 students.

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