Home
Class 12
MATHS
Statement-1 If Sets A and B have three a...

Statement-1 If Sets A and B have three and six elements respectively, then the minimum number of elements in `A uu B` is 6.
Statement-2 maximum number of element in `AnnB=3`.

A

Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1

B

Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement-1

C

Statement-1 is true, Statement-2 is false

D

Statement-1 is false, Statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
A
`n(AuuB)=n(A)+n(B)-n(AnnB)`
`=3+6-n(AnnB)=9-n(AnnB)`
As maximum number of element in `(AnnB) = 3`
`therefore` Minimum number of elements in `(AnnB)=9-3=6`
Both statements are true, Statement-2 is a correct explanation for Statement-1.
Promotional Banner

Similar Questions

Explore conceptually related problems

If A and B be two sets containing 3 and 6 elements respectively. What can be the minimum number of elements in A cup B ? Find also, the maximum number of elements in A cup B .

If the set A has 3 elements and the set B =(3, 4, 5), then find the number of elements in (A xx B).

If A and B two sets containing 2 elements and 4 elements, respectively. Then, the number of subsets of A xx B having 3 or more elements, is

Let A and B be too sets containing four and two elements respectively then the number of subsets of set AxxB having atleast 3 elements is

If the set A has 3 elements and the set B= {3, 4, 5}, then find the number of elements in (A xx B)

Set A has three elements and B = {a, b, c,d} then numbers of elements in 'AxB' are …........

Statement-1 If a set A has n elements, then the number of binary relations on A = n^(n^(2)) . Statement-2 Number of possible relations from A to A = 2^(n^(2)) .