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In a certain team, there are 15 basketball players and 25 baseball players. The total number of players is 32 and everyone plays at least one sport.
How many players play both basketball and baseball?
  • a)
    24
  • b)
    8
  • c)
    17
  • d)
Correct answer is option 'B'. Can you explain this answer?
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Calculation:
There are 15 basketball players and 25 baseball players in the team. The total number of players is 32, and everyone plays at least one sport.

Identifying the number of players who play both basketball and baseball:
Let's denote the number of players who play both basketball and baseball as x.

Using the principle of inclusion-exclusion:
Total number of basketball players = 15
Total number of baseball players = 25
Total number of players who play both sports = x
Total number of players = Total basketball players + Total baseball players - Total players who play both sports
32 = 15 + 25 - x
32 = 40 - x
x = 40 - 32
x = 8
Therefore, there are 8 players who play both basketball and baseball in the team.
So, the correct answer is option B) 8.
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