in a class of 35 students 26 play football and play 20 long tennis, if 17 play above, many play neither.

26 + 20 - 17 = 29

35 - 29 = 6 play neither

(total)= (football)+(long tennis)+(above)-(f+l)+(a)+(neither)

26+20-17=29

35-29=6 play neither

To find out how many students play neither football nor long tennis, we need to subtract the number of students who play either football or long tennis from the total number of students.

Given:
Total number of students in the class = 35
Number of students who play football = 26
Number of students who play long tennis = 20
Number of students who play both football and long tennis = 17

To find the number of students who play neither, follow these steps:

1. Calculate the number of students who play either football or long tennis:
- Add the number of students who play football (26) and the number who play long tennis (20):
26 + 20 = 46

2. Subtract the number of students who play both sports (17) from the total number who play either sport:
46 - 17 = 29

Therefore, there are 29 students who play either football or long tennis. To find the number of students who play neither sport, subtract this number from the total number of students:
35 - 29 = 6

Hence, 6 students play neither football nor long tennis.