Math, asked by arifarizvi5713, 10 months ago

What is subset of{1{1,2,3}

Answers

Answered by AditiHegde
0

The subset of {1,2,3} is {}, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3}

  • A subset is a collection of elements of a set.
  • A set itself is a subset of that set.
  • Given set, {1,2,3}
  • Number of subsets of a set is given by a formula,
  • number of subset = 2^n
  • where,  
  • n = number of elements present in a set.
  • here, there are 3 elements, (1,2,3)
  • Therefore, we have,
  • 2^3 = 8 subsets.
  • 1. {}
  • 2. {1}
  • 3.  {2}
  • 4.  {3}
  • 5. {1,2}
  • 6. {1,3}
  • 7.  {2,3}
  • 8. {1,2,3}
Answered by ashishks1912
0

The subsets for the given set {1,2,3} are {}, {1}, {2}, {3}, {1,2}, {1,3}, {2,3} and {1,2,3}

Step-by-step explanation:

Given that the set is {1,2,3}

To find the subset for the given set :

Subset : A subset is a collection of elements of a set.

  • We know that every set itself is a subset of that set.
  • The formula for the Number of subsets of a set is 2^n

Number of subsets=2^n

  • Here, n is the number of elements  in the given set.
  • Here, there are 3 elements in the given set.
  • Therefore, put n=3 we get
  • 2^3=8
  • Therefore the given set contains 8 subsets.
  • They are {}, {1}, {2}, {3}, {1,2}, {1,3}, {2,3} and {1,2,3}

Therefore the subsets for the given set {1,2,3} are {}, {1}, {2}, {3}, {1,2}, {1,3}, {2,3} and {1,2,3}.

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