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 `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

Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in A uu B ?

If A and B are two sets such that n (A) = 5 , n (B) = 7, then the minimum number of elements in A uu B is

A and B are two sets such that n (A) =25 and n(B) = 15 , then maximum number of elements in A uu B is

If A = {1, 2, 3, 4} then the number of elements in A xx A is

A and B are two sets such that n (A) =22 and n(B) = 37 , then maximum number of elements in A nn B is

If two sets A and B have 99 elements in common, then the number of elements common to the sets A x B and B x A is :

If set A has three elements and set B={3,4,5} find the nummber of elements of A xx B

If A and B have n elements in common , then the number of elements common to A xx B and B xx A 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).

If the sets A has p elements, B has q elements, then number of elements is AxxB is