Answer:
see below
Step-by-step explanation:
Let C = chess
S = swimming
F = football
x = football only
y = all three sports
z = swimming only
x+y+ 8+12 = 32 those who like football
y+z+8+16 = 40 those who like swimming
7+x+8+y+12+10+16+z = 72 all children
Simplifying these equations
x+y = 32-20 = 12
y+z = 40-24 = 16
x+y +z = 72-53 = 19
Substituting x+y = 12 into the last equation
12 +z = 19
z = 7
y+z = 16
y = 9
x+y =12
x =5
Swimming only is 7
Football only is 5
Swimming and football y+8 = 9+8 = 17
P( chess or swimming but not football) = (10+16+z)/ total
=(10+16+7)/ total
=33/72
P( no active sport) = chess only or no sport/total
=(10+7)/72
