Question

Find the number of proper subset of {1, 2,3,4}​

Answer 1

Answer:

15

Step-by-step explanation:

the total no of elements are 4

Proper subsets no = 2⁴ -1

= 15

Subsets are (1),(2),(3),(4),(1,2),(2,3),(3,4)(4,1),(1,2,3),(2,3,4),(1,3,4),(1,2,4),(phi),(1,3),(2,4)

Answer 2

The number of proper subset of { 1, 2, 3, 4 } is 15

Given :

The set { 1, 2, 3, 4 }

To find :

Number of proper subset of { 1, 2, 3, 4 }

Concept :

Set :

A set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole

Subset :

A set S is said to be a subset of T if every element of S is an element of T . It is written as S ⊆ T

We know that if a set contains n elements then the number of proper subsets of the set is 2ⁿ - 1

Solution :

Step 1 of 2 :

Write number of elements in the set

Here the given set is { 1, 2, 3, 4 }

Number of elements in the set = 4

Step 2 of 2 :

Find the number of proper subset of { 1, 2, 3, 4 }

We know that when a set contains n elements then the number of proper subsets of the set is 2ⁿ - 1

Hence number of proper subset of { 1, 2, 3, 4 }

= 2⁴ - 1

= 16 - 1

= 15

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