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question 3 3 pts in 2019, 166,459 people (tourists and locals) attended…

Question

question 3
3 pts
in 2019, 166,459 people (tourists and locals) attended the cirque du soleil shows in las vegas, 90,462 attended david copperfields magic show, and 33,419 attended both of those shows. how many people attended at least one of the shows? (enter your answer in the box below without using comma in your number).

Explanation:

Step1: Use the principle of inclusion - exclusion

The formula for \(n(A\cup B)\) (the number of elements in either set \(A\) or set \(B\)) is \(n(A\cup B)=n(A)+n(B)-n(A\cap B)\). Let \(A\) be the set of people who attended Cirque Du Soleil shows (\(n(A) = 166459\)), \(B\) be the set of people who attended David Copperfield's magic show (\(n(B)=90462\)), and \(n(A\cap B) = 33419\) (the number of people who attended both shows).

Step2: Substitute the values into the formula

$$ LATEXBLOCK0 $$

Answer:

223502