Question

In a survey of 24 college students, it was found that 15 were taking an English class, 13 were taking a mathclass, and 8 were taking both English and math. How many students were taking a math class only?Howmany students were taking an English class only? How many students were taking nei

Answer 1

Explanation:

Given that total students =23.

15 have taken English, 13 Math and 8 both

number of students taking math only = total math - students who have taken both

= 13-8 = 5

Number of students taking English only = total English - students who have taken both

= 15-8 =7

Now we divided into 3 disjoint partitions as only Math, only English and both.

Thus no of students who have taken either math or english = 7+5+3 = 15

No of students who have taken neither = 24-15 = 9