NDA 2021 Mathematics question

Consider the following statements : 1. The null set is a subset of every set. 2. Every set is a subset of itself. 3. If a set has 10 elements, then its power set will have 1024 elements. Which of the above statements are correct?

(A)1 and 2 only
(B)2 and 3 only
(C)1 and 3 only
(D)1, 2 and 3Correct

Answer: (D)

Solution

Statement 1: The null set has no element, so the condition "every element of belongs to " is satisfied for any set ; thus . Correct. Statement 2: Every element of is

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-033527