Answer :
Cycling = 69 - (32 + 27) = 69 -59 = 10
Badminton = 62 - (32+28) = 62 - 60 =2
Archery = 63 - (27 + 28) = 63 - 55 = 8
Total for 1 sport = 10 + 2 + 8 = 20
Pupils left = 120 - 20 = 100
Pupils that picked two sports = 27 + 28 + 32 = 87
Number of pupils to pick all sports = 100 - 87 = 13
13 pupils picked all three
Badminton = 62 - (32+28) = 62 - 60 =2
Archery = 63 - (27 + 28) = 63 - 55 = 8
Total for 1 sport = 10 + 2 + 8 = 20
Pupils left = 120 - 20 = 100
Pupils that picked two sports = 27 + 28 + 32 = 87
Number of pupils to pick all sports = 100 - 87 = 13
13 pupils picked all three