A city has two daily newspapers, The Ledger and The Star. A Surveyof 3,000 peopl

Question

A city has two daily newspapers, The Ledger and The Star. A Surveyof 3,000 people in the city found that 367 of them subscribe to TheLedger, 689 of them subscribe to The Star, and 63 subscribe toboth.
a) How many people don't subscribe to either paper?
b) How many people subscribe to The Star but not the to TheLedger?
c) How many people subscribe to The Ledger but not to TheStar?
a) How many people don't subscribe to either paper?
b) How many people subscribe to The Star but not the to TheLedger?
c) How many people subscribe to The Ledger but not to TheStar?

Explanation / Answer

n(L)=367 n(S)=689 n(L and S)=63 n(L or S)= n(L)+n(S)-n(L and S) =367+689-63= 993 a) n(do not subscribe to a newspaper)=3000-993= 2007 b) n(Star but not Ledger)=n(S)-n(both)=689-63=526 c) n(Ledger but not Star)=n(L)-n(both)=367-63=304 Drawing a Venn diagram might help you see the results .

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