List all the subsets of the given set. {g, k, v} Choose the answer that lists all of the subsets of {g, k, v}. O A. {g}, {k}, {v}, {g, k}, {g, v}, {k, v} B. {g), {k}, {v}, {g, k}, {g, v}, {k, v}, {g, k, v} OC. {}, {g}, {k}, {v}, {g, k}, {g, v}, {k, v} O D. {), {g}, {k}, {V}, {g, k}, {g, v}, {k, v}, {g, k, v}
List all the subsets of the given set. {g, k, v} Choose the answer that lists all of the subsets of {g, k, v}. O A. {g}, {k}, {v}, {g, k}, {g, v}, {k, v} B. {g), {k}, {v}, {g, k}, {g, v}, {k, v}, {g, k, v} OC. {}, {g}, {k}, {v}, {g, k}, {g, v}, {k, v} O D. {), {g}, {k}, {V}, {g, k}, {g, v}, {k, v}, {g, k, v}
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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
Transcribed Image Text:**List all the subsets of the given set.**
Given Set: \(\{g, k, v\}\)
**Choose the answer that lists all of the subsets of \(\{g, k, v\}\).**
- **A.** \(\{\}, \{k\}, \{v\}, \{g, k\}, \{g, v\}, \{k, v\}\)
- **B.** \(\{g\}, \{k\}, \{v\}, \{g, k\}, \{g, v\}, \{k, v\}, \{g, k, v\}\)
- **C.** \(\{\}, \{g\}, \{k\}, \{v\}, \{g, k\}, \{g, v\}, \{k, v\}\)
- **D.** \(\{\}, \{g\}, \{k\}, \{v\}, \{g, k\}, \{g, v\}, \{k, v\}, \{g, k, v\}\)
**Explanation:**
Each subset of a set is formed by including or excluding each element. For the set \(\{g, k, v\}\), the total number of subsets is \(2^3 = 8\), including:
1. The empty set: \(\{\}\)
2. Single-element subsets: \(\{g\}, \{k\}, \{v\}\)
3. Two-element subsets: \(\{g, k\}, \{g, v\}, \{k, v\}\)
4. The full set itself: \(\{g, k, v\}\)
**Correct Answer: D**
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