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What is the answer of AUB in math?
The union of A and B, written AUB, is the set of all elements that belong to either A or B or both.
What is the relation between n/a n b’n AB and N AUB?
The relation between n (A), n (B), n (A ∩ B) and n (A U B) can be given as follows : n (A U B) = n (A) + n (B) – n (A ∩ B) – Here, the union of A & B is equal to the sum of elements of A and elements of B and then subtracting the intersection of A & B from it.
How do I read AUB files?
Now we will use the notation A U B (which is read as ‘A union B’) to denote the union of set A and set B. Thus, A U B = {x : x ∈ A or x ∈ B}. Therefore, the shaded portion in the adjoining figure represents A U B.
What is N AUB if A and B are DisJoint sets?
Solution: two sets are said to be disjoint sets if they have no element in common. n(A∪B) = n(A) + n(B) – n ( A ∩ B)
What is the Venn diagram of AUB?
The union of A and B is the set of all those elements which belong either to A or to B or both A and B. Now we will use the notation A U B (which is read as ‘A union B’) to denote the union of set A and set B. Thus, A U B = {x : x ∈ A or x ∈ B}. Therefore, the shaded portion in the adjoining figure represents A U B.
What is the formula to find all the elements of AUB?
In the diagram, all the region except the green part represents the elements of the set AUB. ⇒n (AUB) = n (A) + n (B) – n (A∩B). Ans 8 clever moves when you have $1,000 in the bank.
What is the range of AUB of two sets?
You need to know the number of elements they have in common. n (AUB) can range from 7 (if all of the elements of A are also elements of B, so that A is a proper subset of B) to 12 (if none of the elements of A are elements of B, so that the two sets do not overlap). I suppose you are asking what is the cardanlity.
Why does the formula n(a U B) have to be subtracted?
That’s why the formula works n(A U B) = n(A) + n(B) – n(A ∩ B), the n(A ∩ B) gets counted once as part of n(A), and gets counted again in part of n(B), when we add n(A) + n(B), and so n(A ∩ B) must be subtracted once to take away the extra time it is counted.
How do you find the elements of an AB set?
Set AB contains all the elements of set A and those elements of set B which are not in set A. This can be shown by the venn diagram as below. In the diagram, all the region except the green part represents the elements of the set AUB. ⇒n (AUB) = n (A) + n (B) – n (A∩B).