Of 21 applicants for a job, 14 had at least 5 years of prior work experience, 12 had advanced degrees, and 6 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? Options
A) 1	B) 3	C) 5	D) 7	E) 9
Had advanced degrees and 5 years work experience: 6   Only had 5 years work experience: 14-6= 
<gadget id="calculator">14-6</gadget>
<output>8</output>
8   Only had advanced degrees: 12-6= 
<gadget id="calculator">12-6</gadget>
<output>6</output>
6   21-6-8-6= 
<gadget id="calculator">21-6-8-6</gadget>
<output>1</output>
1   1nswer: 1
<result>A</result>
Of 21 applicants for a job, 14 had at least 5 years of prior work experience, 12 had advanced degrees, and 6 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?