Number of Subsets and Proper Subsets of Set {e, f, g, h, i, j, k, l}

Math Problem Statement

Find (a) the number of subsets and (b) the number of proper subsets of the following set. StartSet e comma f comma g comma h comma i comma j comma k comma l EndSet. Question content area bottom Part 1 a. The number of subsets is

Solution

To find the number of subsets of a set, we use the formula:

$\text{Number of subsets} = 2^n$

where $n$ is the number of elements in the set.

Given the set $\{e, f, g, h, i, j, k, l\}$ , it has 8 elements.

Thus, the number of subsets is:

$2^8 = 256$

Answer:

(a) The number of subsets is 256.

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Math Problem Analysis

Mathematical Concepts

Set Theory
Subsets

Formulas

Number of subsets = 2^n
Number of proper subsets = 2^n - 1

Theorems

Basic Subset Theorem

Suitable Grade Level

Grades 9-11

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