If A = {1,2,3,4,5}, how many subsets in P(A) are disjoint from {1,2}?
Answer and explanation
Correct answer: 8
A subset is disjoint from {1,2} if it contains neither 1 nor 2. Therefore, all such subsets must be formed from the remaining elements {3,4,5}. Every subset of {3,4,5} is allowed, including the empty set. Since this set has 3 elements, its power set has 2³ = 8 members. Hence option B is correct.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
A subset is disjoint from {1,2} if it contains neither 1 nor 2. Therefore, all such subsets must be formed from the remaining elements {3,4,5}. Every subset of {3,4,5} is allowed, including the empty set. Since this set has 3 elements, its power set has 2³ = 8 members. Hence option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
