If A = {1,2,3,4,5,6}, how many elements of P(A) contain no element greater than 1?
Advertisement
Answer and explanation
Correct answer: 2
A member of P(A) is a subset of A. If it contains no element greater than 1, its only possible elements are those not exceeding 1, namely the element 1. Thus the possible subsets are ∅ and {1}. The empty set must also be counted because it satisfies the condition, giving a total of 2 subsets.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
A member of P(A) is a subset of A. If it contains no element greater than 1, its only possible elements are those not exceeding 1, namely the element 1. Thus the possible subsets are ∅ and {1}. The empty set must also be counted because it satisfies the condition, giving a total of 2 subsets.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
Advertisement