Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

A set contains n elements. The power set contains

Options:

n elements

2n elements

n2 elements

none of these

Correct Answer:

2n elements

Explanation:

Set contains n elements

power set contains subsets having 0, 1, 2, 3,..., n elements

so number of elements in Power set

$={^nC}_0+{^nC}_1+{^nC}_2+....+{^nC}_n=(1+1)^n=2^n$