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☣️ Explain what do u mean by proper and Improper set along with examples for both.
☣️ Tell me the formula for calculating the number of proper as well as improper sets for a Given Set {❤️}
Answers
hey there..!!!
An improper subset is a subset containing every element of the original set.
while a proper subset contains some but not all of the elements of the original set.
For example, consider a set {1,2,3,4,5,6}. Then {1,2,4} and {1} are the proper subset while {1,2,3,4,5} is an improper subset.
Obviously,every set is the subset of itself and the void set ∅ is the subset of every set. These two subsets are called improper subsets. It also includes a theorem which states that "Let A be a finite set having n elements. Then the total number of subsets of A is (2n) and the number of proper subsets of A is (2n−1)."
☑Heya harshu here's ua answer:⤵
✨If A is a subset of B and A ≠ B, then A is a proper subset of B. We write this as A ⊂ B. This is called proper set.
✨ A set may contain no elements and such a set is called Void set or Null set or Empty set and is denoted by phi or { } .
Eg: Consider a set {1,2,3,4,5,6}. Then {1,2,4} and {1} are the proper subset while {1,2,3,4,5} is an improper subset.
✔FORMULAE:⤵
If a set contains ‘n’ elements, then the number of proper subsets of the set is 2n - 1.
If A = {p, q} the proper subsets of A are [{ }, {p}, {q}]
⇒ Number of proper subsets of A are 3 = 22 - 1 = 4 - 1
In general, number of proper subsets of a given set = 2m - 1, where m is the number of elements.
If the number of elements in a set is 2, find the number of subsets and proper subsets.
⭐ As an improper set is 0, it has no formulae....
✒HOPE IT HELPS UH.....
☺Mark brainliest @Anti mute kudi.....