Answer: 14

 

10

16

14
1st (APPROVED)

S

S

F
2nd (APPROVED)

B

B

B*
3rd (NOT APPROVED))

F

A

S
4th (NOT APPROVED)

A

F

A
BADMINTON was the second choice of 10 + 16 + 14 = 40 voters but 10 + 16 = 26 of those voters did not give an approval vote for their second choice so, BADMINTON receives 40 - 26 = 14 approval votes.

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