Question

A set containing 6 element total number of proper subset is

Answer 1

The number of sets of a set containing n-elements =2^n .

A proper subset of a set is the set whose elements are in the given set, but it is not equal to the set.

Let S be a subset of A, S is called Proper subset if and only if it is a subset of A, and S ≠ A .

So, The number of proper subsets of a set containing n-elements is

As, The number of subsets contains a improper subset that is the set itself, so 1 is subtracted from number of total subsets to get number of proper subsets.

Answer 2

Answer:

64

Step-by-step explanation:

Tip

• A set A is a subset of another set B if all elements of the set A are elements of the set B. In other words, the set A is contained inside the set B. The subset relationship is denoted as A⊂B

Given

A set containing 6 element

Find

total number of proper subset

Solution

Since the number of subsets of a set are $2^{n}$

 if the set contains n elements,

∴ Number of subsets =$2^{6}$

$=64$

Final Answer

64

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