Question

A news agent conducted a survey among business magazine subscribers of a town and found that there was circulation of only three business magazines. He made the Venn diagram below to show the number of subscribers to each of the three magazines: Money Talk, Mint, and Smart Investor.


How many subscribers belong to the set (M ∩ ~ T) ∪S?

Answer 1

Here is the venn diagram

Answer 2

(M ∩ ~ T) ∪S
first find ~ T which is the compliment of t...so everything that isnt in set t

Answer 3

answer choices: 718

802

825

864

Answer 4

This was on my exam and I guessed 802 and got it wrong so I know it isn't that one for sure!

Answer 5

@Callisto

Answer 6

I learned from my mistake of being too lazy though:
~T = 84, 287, 431
Now what is the intersection of ~T with M?
M = 39, 65, 84, 287
~T = 84, 287, 431
So (M ∩ ~ T) = 84, 287
Now find (M ∩ ~ T)'s union with S: everything in both sets:
(M ∩ ~ T) = 84, 287
S = 23, 39, 84, 431
(M ∩ ~ T) ∪S = 23, 39, 84, 287, 431
Now the question is asking how many subscribers belong to (M ∩ ~ T) ∪S....so add up the numbers:
23+39+84+287+431 = 864
So your answer is D) 864