NDA 2024 Maths · Mathematics · Sets, Relations and Functions · medium

How many subsets of a set of 5 elements contain two particular elements?

Single correct option

Show answer and solution

Answer: (C) 8

Fix the two given elements as members; each of the remaining

5-2=3

elements may be present or absent independently, giving

2^3=8

subsets. Trap:

2^5=32

counts all subsets;

2^5-2^2

is meaningless here.

Original question written in the NDA 2024 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake