Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# If a = |1, 2, 3, 4, 5|, Then the Number of Proper Subsets of a is - Mathematics

MCQ

If A = |1, 2, 3, 4, 5|, then the number of proper subsets of A is

• (a) 120

• (b) 30

• (c) 31

• (d) 32

#### Solution

(c) 31
The number of proper subsets of any set is given by the formula $2^n - 1$ where n is the number of elements in the set.
Here,
n = 5
∴ Number of proper subsets of A =$2^5 - 1 = 31$

Concept: Subsets
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 1 Sets
Q 14 | Page 50