(a) If `n(A) = 6` and `n(AxxB)=42` then find `n(B)`
(b) If some of the elements of `A xx B` are `(x,p),(p,q), (r,s)`. Then find the minimum value of `n(A xx B)`.

Answer

(a) 7 (b) 9

Explanation

(a) `n(A xx B)=n(A)xx n(B)`
` :. 42=6xx n(B)=7.`
(b) For minimum value of `n(A xx B), A={x,p,r} " and " B={p,q,s}.` So, minimum value of `n(A xx B)=9.`