SOLUTION: If n(a) = 35 and n(b)=8 find the following if the sets A and B are disjoint: a) n (A intersect B) b) N (a union B)

Algebra ->  Sequences-and-series -> SOLUTION: If n(a) = 35 and n(b)=8 find the following if the sets A and B are disjoint: a) n (A intersect B) b) N (a union B)      Log On


   

Question 1069898: If n(a) = 35 and n(b)=8 find the following if the sets A and B are disjoint:
a) n (A intersect B)
b) N (a union B)
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
If n(a) = 35 and n(b)=8 find the following if the sets A and B are disjoint:
a) n (A intersect B)
b) N (a union B)
~~~~~~~~~~~~~~~~~~~~~~~~ 

a)  In my understanding, if the sets A and B are disjoint, then their intersection is empty.

    Hence, "if the sets A and B are disjoint", then  n ( A intersect B) = 0  independently of numbers n(A), n(B).



b) n (A union B) = n(A) + n(B) = 35 + 8 = 42.   (since the sets A and B are disjoint)