homework 3.4: problem 2 (1 point) the 500 companies on the fortune 500 list include 55 companies that are…
homework 3.4: problem 2 (1 point) the 500 companies on the fortune 500 list include 55 companies that are based in new york and 24 companies with a female ceo. these include 4 companies that are both based in new york and have a female ceo. after graduation, erica wants to work for a fortune 500 company that is either based in new york or has a female ceo, or both. how many companies does she have to choose from?
Answer
Explanation:
Step1: Use the inclusion - exclusion principle
Let (A) be the set of companies based in New York and (B) be the set of companies with a female CEO. We know (n(A) = 55), (n(B)=24) and (n(A\cap B)=4). The formula for (n(A\cup B)) is (n(A)+n(B)-n(A\cap B)).
Step2: Substitute the values
Substitute (n(A) = 55), (n(B)=24) and (n(A\cap B)=4) into the formula (n(A\cup B)=n(A)+n(B)-n(A\cap B)). So (n(A\cup B)=55 + 24- 4).
Step3: Calculate the result
(55+24 - 4=75).
Answer:
75