Question

A group of students were asked about their majors. Let B= Biology majors and M= math majors, Given r1 = 47, r2 =1, r3=4, & r4=7

Answer 1

`\begin{gathered} r_1=\text{ Number of student that take neither of the majors=47} \\ r_2=\text{Biology majors only=}12 \\ r_3=\text{Student that take both biology and math=}4 \\ r_4=Math\text{ major only=}7 \end{gathered}`

a. The number of student surveyed is = 12 + 7 - 4 + 47 = 62

b. The number of student that are math major but not biology major = 7

c. The number of student that are neither math major nor biology major = 47

d. The number of student that are both math and biology major = 4