In an IT company, there are a total of 120 employees including 50 programmers. The number of male employees is 80, including 35 male programmers. How many employees must be selected to guaranty that we have 3 programmers of the same sex?	Choose the most appropriate option
A) 10 B) 50 C) 55 D) 35 E) 75
You could pick 70 non-programmers, 2 male programmers, and 2 female programmers, and still not have 3 programmers of the same sex. But if you pick one more person, you must either pick a male or a female programmer, so the answer is 75.   75
<result>E</result>
In an IT company, there are a total of 120 employees including 50 programmers. The number of male employees is 80, including 35 male programmers. How many employees must be selected to guaranty that we have 3 programmers of the same sex?