Question

of the 32 students in a class, a total of 11 students play football, a total of 16 students play basketball, and 5 students play both sports. which venn diagram correctly displays this information?

Explanation:

Step1: Calculate students who play only basketball

The number of students who play basketball is 16 and 5 play both sports. So the number of students who play only basketball is $16 - 5=11$.

Step2: Calculate students who play only football

The number of students who play football is 11 and 5 play both sports. So the number of students who play only football is $11 - 5 = 6$.

Step3: Check the Venn - diagram options

We need a Venn - diagram where the part of the basketball circle that doesn't overlap with the football circle has 11 students, the overlapping part has 5 students, and the part of the football circle that doesn't overlap with the basketball circle has 6 students.

Answer:

The third Venn - diagram (from the top - left, in a left - to - right, top - to - bottom order) where the basketball circle has 11 in the non - overlapping part, 5 in the overlapping part and the football circle has 6 in the non - overlapping part.