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(Solved): inclusion-exclusion EXAMPLE: At a construction site, Jorge is in charge of hiring skilled work ...



inclusion-exclusion
• EXAMPLE: At a construction site, Jorge is in charge of hiring
skilled workers for the project. Out of 8

inclusion-exclusion • EXAMPLE: At a construction site, Jorge is in charge of hiring skilled workers for the project. Out of 80 candidates that he interviewed, he found that . 45 of them were painters; 50 of them were electricians ; 50 of them were plumbers; 15 of them had skills in all three areas; all of them had skills in at least one of these areas. • If he hired everyone who were skilled in exactly 2 areas, how many candidates were hired? 33


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Let the painters be denoted by A, electricians by B and plumbers by C. Given, n(AUBUC) = 80 n(A) = 45 n(B) = 50 n(C) = 15 n(A?B?C) =
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