   Chapter 14.1, Problem 37E ### 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

# APPLICATIONS 3 7 - 4 0 ■ Counting Subsets These exercises involve counting subsets.Subsets A set has eight elements.(a) How many subsets containing five elements does this set have?(b) How many subsets does this set have?

To determine

(a)

To find:

The number of subsets containing five elements.

Explanation

Given:

The set has 8 elements. The subsets have 5 elements.

Approach:

The number of combinations of n objects taken r at a time is,

C(n,r)=n!r!(nr)!(1)

Calculation:

The number of combinations of 8 elements taken 5 at a time is calculated as follows.

Substitute n=8 and r=5 in the equation (1).

To determine

(b)

To find:

The total number of subsets of the sets.

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