Question

In a class of 75 students, 10 play only cricket, 15 play only football
, 30 play basketball, 8
play only cricket & football, 4 play only cricket & basketball & 4 play all the three sports.
How many students do not play any of the three games?​

Answer 1

Step-by-step explanation:

Students in class=75

Students who play cricket=10

Students who play football=15

Students who play basketball=30

Who play cricket and football=8

Who play cricket and basketball=4

who play all the three sports= 4

Students do not play=75-(10+15+30+8+4+4)

=75-71

=4

:. 4 students don't play any game.

Answer 2

Answer:

Four (4) students don't play any of the three games.

Given:

Total number of students, n = 75

Number of students who play only cricket, n(C) = 10

Number of students who play only football, n(F) = 15

Number of students who play only basketball, n(B) = 30

Number of students who play only cricket and football, n(C∩F) = 8

Number of students who play only cricket and basketball, n(C∩B) = 4

Number of students who play all three sports, n(C∩F∩B) = 4

Find:

Number of students who do not play any of the three games.

Solution:

Number of students who do not play any of the three games is given by,

m = n - n(C) - n(F) - n(B) - n(C∩F) - n(C∩B) - n(C∩F∩B)

m = 75 - 10 - 15 - 30 - 8 - 4 - 4

m = 75 - 71

m = 4

Hence, 4 students do not play any of the three games.

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