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Members of three school athletic teams: 21 in cricket, 26 in hockey, 29 in football. Of these, 14 play both hockey and cricket, 15 play both hockey and football, 12 play both football and cricket, and 8 play all three sports. Find the total number of members across all three teams.
- 43
- 40
- 45
- 43
Correct answer: 43
Solution
The inclusion-exclusion principle for three sets gives the total count of distinct members across all three teams.
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