A total of 55 athletes participated in an athletic meet. 24 won bronze medals, 36 won silver medals and 12 wongold medals. 10 won gold and silver, 15 won silver and bronze, 8 won gold and bronze. If 6 athletes won all thethree medals, then how many of them won exactly two medals?
Answers
Step-by-step explanation:
won" (and any subsequent words) was ignored because we limit queries to 32 words.
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Given : A total of 55 athletes participated in an athletic meet.
24 won bronze medals, 36 won silver medals and 12 won gold medals.
10 won gold and silver, 15 won silver and bronze, 8 won gold and bronze.
6 athletes won all the three medals,
To Find : how many of them won exactly two medals
Solution:
exactly two medals
= n( G ∩ S) - n ( G ∩ S - B) + n( G ∩ B) - n ( G ∩ S - B) + n( B ∩ S) - n ( G ∩ S - B)
= 10 - 6 + 8 - 6 + 15 - 6
= 15
15 won exactly two medals
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