Question: If G = {x, y}, what is the number of subsets of G?
Options:
2
3
4
5
Correct Answer: 4
Solution:
The number of subsets of a set with n elements is 2^n. Here, n=2, so the number of subsets is 2^2 = 4.
If G = {x, y}, what is the number of subsets of G?
Practice Questions
Q1
If G = {x, y}, what is the number of subsets of G?
2
3
4
5
Questions & Step-by-Step Solutions
If G = {x, y}, what is the number of subsets of G?
Step 1: Identify the set G. In this case, G = {x, y}.
Step 2: Count the number of elements in the set G. Here, there are 2 elements: x and y.
Step 3: Use the formula for the number of subsets, which is 2^n, where n is the number of elements in the set.
Step 4: Substitute the value of n into the formula. Since n = 2, we calculate 2^2.
Step 5: Calculate 2^2, which equals 4.
Step 6: Conclude that the number of subsets of the set G is 4.
Subsets – The concept of subsets involves understanding that a set with n elements has 2^n possible subsets, including the empty set and the set itself.
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