A class of 40 students was surveyed about their participation in sports. - 25 students play football. - 20 students play basketball. - 15 students play both football and basketball. a) How many students play only football? (1mk) b) How many students play only basketball? (1mk) c) How many students do not play either sport? (1mk)

**Step 1: Calculate the number of students who play only football.** The total number of students playing football is \(25\), and among them, \(15\) play both sports. Thus, the number of students who play only football is: \[ 25 - 15 = 10 \] **Step 2: Calculate the number of students who play only basketball.** The total number of students playing basketball is \(20\), and \(15\) play both. Thus, the number of students who play only basketball is: \[ 20 - 15 = 5 \] **Step 3: Calculate the number of students who do not play either sport.** First, find the total number of students playing at least one sport using the inclusion-exclusion principle: \[ \text{Students playing at least one sport} = (25 + 20) - 15 = 30 \] Then, subtract this from the total number of students in the class: \[ 40 - 30 = 10 \] **Answers:** a) \(10\) students play only football. b) \(5\) students play only basketball. c) \(10\) students do not play either sport.