Question

question 18
1 pts
after a survey of its employees, a car manufacturing company in michigan discovers that 1,905 of its employees own american model vehicles, 806 own japanese made vehicles, and 315 own both american and japanese made vehicles. how many employees of this car company own at least one of these makes of vehicles? (enter your answer in the box below).

Explanation:

Step1: Use the principle of inclusion - exclusion

The formula for \(n(A\cup B)\) (the number of elements in the union of two sets \(A\) and \(B\)) is \(n(A\cup B)=n(A)+n(B)-n(A\cap B)\). Let \(A\) be the set of employees who own American - model vehicles and \(B\) be the set of employees who own Japanese - made vehicles. Here, \(n(A) = 1905\), \(n(B)=806\), and \(n(A\cap B)=315\).

Step2: Substitute the values into the formula

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Answer:

2396