Question

In a class of 90 students, children play football, cricket and badminton.55 play cricket,53 play football,35 play badminton.25 play cricket and football,13 play cricket and badminton and 3 play all three sports.How many will get a certificate for only football?
Draw your Venn diagram
if x play badminton and football, then
55+53+35-(25+13+x)+3 = 90
find x.
Then
53-25-x+3 play only football
if x play badminton and football
55+53+35-(25+13+x)+3 = 90
X = 18
play only football
53-25-18+3 = 56
if x play badminton and football
55+53+35-(25+13+x)+3 = 90
X = 18
play only football
53-25-18+3 = 13

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