Of 40 applicants for a job, 32 had at least 5 years of prior work experience, 24 had advanced degrees, and 16 had at least 5 years of prior work experience and advanced degrees. How many of the applicants had neither 5 years of prior work experience nor advanced degrees?
Choose the correct answer
A) 0	B) 2	C) 4	D) 8	E) 16
soln:   The 16 with both experience and degrees are the first group;   we can subtract the 16 from the 24 with advanced degrees to determine that 8 have advanced degrees but not 5 years of experience,   we can subtract the 16 from the 32 with experience to determine that there are 16 applicants with 5 years of experience but no advanced degrees   We can then subtract these three groups from the total pool of 40 applicants to determine how many lack both   experience and advanced degrees;  40-16-16-8= 
<gadget id="calculator"> 40-16-16-8</gadget>
<output>0</output>
0,   so there were no such applicants among the 40   0NSWER:0
<result>A</result>
Of 40 applicants for a job, 32 had at least 5 years of prior work experience, 24 had advanced degrees, and 16 had at least 5 years of prior work experience and advanced degrees. How many of the applicants had neither 5 years of prior work experience nor advanced degrees?