How many two-element subsets does A = {1, 2, 3} have?
Answer and explanation
Correct answer: 3
A two-element subset is formed by choosing exactly two different elements from the three elements 1, 2, and 3. The possible subsets are {1, 2}, {1, 3}, and {2, 3}. These are different subsets, while the order of elements does not matter. Therefore, A has exactly 3 two-element subsets. This also agrees with the combination formula C(3, 2) = 3.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
A two-element subset is formed by choosing exactly two different elements from the three elements 1, 2, and 3. The possible subsets are {1, 2}, {1, 3}, and {2, 3}. These are different subsets, while the order of elements does not matter. Therefore, A has exactly 3 two-element subsets. This also agrees with the combination formula C(3, 2) = 3.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
