Question: If G = {1, 2, 3, 4, 5}, what is the total number of subsets of G?
Options:
32
64
16
8
Correct Answer: 32
Solution:
The number of subsets of a set with n elements is 2^n. Here, n = 5, so 2^5 = 32.
If G = {1, 2, 3, 4, 5}, what is the total number of subsets of G?
Practice Questions
Q1
If G = {1, 2, 3, 4, 5}, what is the total number of subsets of G?
32
64
16
8
Questions & Step-by-Step Solutions
If G = {1, 2, 3, 4, 5}, what is the total number of subsets of G?
Step 1: Identify the set G, which is {1, 2, 3, 4, 5}.
Step 2: Count the number of elements in the set G. There are 5 elements.
Step 3: Use the formula for the number of subsets, which is 2 raised to the power of the number of elements (n).
Step 4: Since n = 5, calculate 2^5.
Step 5: Compute 2^5, which equals 32.
Step 6: Conclude that the total number of subsets of G is 32.
Subsets of a Set – The concept of subsets involves understanding that for a set with n elements, the total number of subsets is calculated using the formula 2^n.
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