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 year's experience and a degree?
Solution
Correct Answer: Option D
Given:
Total applicants (n) = 30
Applicants with at least 4 years' experience (A) = 14
Applicants with degrees (B) = 18
Applicants with less than 4 years' experience and no degree = 3
The applicants had at least 4 year's experience and a degree n(A ∩ B ) = ?
Now
A ∩ B = A + B - (A ∪ B)
A ∪ B = A + B - (A ∩ B)
= 14 + 18 - (30 - 3)
= 14 + 18 - 27
= 32 - 27
= 5
Therefore, the number of applicants who had at least 4 years' experience and a degree is (E) = 5.
Total applicants (n) = 30
Applicants with at least 4 years' experience (A) = 14
Applicants with degrees (B) = 18
Applicants with less than 4 years' experience and no degree = 3
The applicants had at least 4 year's experience and a degree n(A ∩ B ) = ?
Now
A ∩ B = A + B - (A ∪ B)
A ∪ B = A + B - (A ∩ B)
= 14 + 18 - (30 - 3)
= 14 + 18 - 27
= 32 - 27
= 5
Therefore, the number of applicants who had at least 4 years' experience and a degree is (E) = 5.
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