Question

A school sports team contains 68 student.33 do field events,40do track events,23 do swimming,14 do both field and track events,8 do both swimming and field events. If 15 students do field events only,10 do both swimming and track events, how many students do
1) swimming only
2) track events only
3) all 3 events

Answer 1

If x do all three, then assuming all 68 students participate,
33+40+23 - (14+8+10) + x = 68
x = 4
Now you can completely fill in your Venn diagram and easily answer the questions.

Answer 2

What is 33 to