Question

Of 30 applicants for a job, 14 had at least 4 years'experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree. How many of the applicants had at least 4 years' experience and a degree?

• A. $14$
• B. $13$
• C. $9$
• D. $7$
• E. $5$

Answer 1

Answer: (E)

$5$

By set theory

$n(A\cup B)=n\left(A\right)+n\left(B\right)-n(A\cap B)$

$30-3=14+18-n(A\cap B)$

$n(A\cap B)=5$