A company conducted a survey of 200 of its employees and found that 107 employees get the company newsletter in the mail, 45 get the electronic copy of the newsletter in their email, and 21 receive both the paper and electronic version of the newsletter. Let G denote the set of employees which get the letter by mail, and let P denote the set of employees which get the newsletter by email.

How many employees are there in the set G∩P′?

How many employees are in the set (G∪P)′?

Question

A company conducted a survey of 200 of its employees and found that 107 employees get the company newsletter in the mail, 45 get the electronic copy of the newsletter in their email, and 21 receive both the paper and electronic version of the newsletter. Let G denote the set of employees which get the letter by mail, and let P denote the set of employees which get the newsletter by email.

How many employees are there in the set G∩P′? 

How many employees are in the set (G∪P)′?