Question

(a) how many of the students drink exactly one of the three drinks?
(b) how many of the students drink soda?
(c) how many of the students drink both tea and coffee, but don’t drink soda?

Explanation:

Step1: Find students who drink exactly one of the three drinks

Add the number of students who drink only tea, only coffee, and only soda.
$$127 + 112+73$$
$$=312$$

Step2: Find students who drink soda

Add all the numbers within the soda - related regions.
$$35 + 55+136 + 73$$
$$=299$$

Step3: Find students who drink both tea and coffee but not soda

Look at the region that is common to tea and coffee but not in soda.
$$89$$

Answer:

(a) \(312\) students.
(b) \(299\) students.
(c) \(89\) students.