Of 30 applicants for a job, 14 had at least 4 years experience. 18 had degrees, 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?
Solution
Correct Answer: Option E
Step 1: assign variables to each of the data points provided in the question so that they correspond to the OVERLAPPING SETS formula: 30 = Total Applicants = T 14 = Applicants with 4 yrs exp = G1 18 = Applicants with degrees = G2 3 = Applicants with NEITHER 4yrs exp nor degrees = NONE ?? = Applicants with BOTH 4yrs exp AND degrees = BOTH Step 2: recall the formula for overlapping sets with 2 groups: Total = G1 + G2 - BOTH + NONE Step 3: Plug and chug the variables that we just assigned to solve for BOTH: T = G1 + G2 - BOTH + NONE 30 = 14 + 18 - BOTH + 3 30 = 35 - BOTH -5 = -BOTH 5 = BOTH
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