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`.

Options

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

Answer

A

Explanation

`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.