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Consider a class of 5 girls and 7 boys. The number of different teams consisting of 2 girls and 3 boys that can be formed from this class, if there are two specific boys A and B, who refuse to be the members of the same team, is:
- 300
- 500
- 200
- 350
Correct answer: 300
Solution
To find the number of teams consisting of 2 girls and 3 boys under the condition that boys A and B cannot be on the same team, we first calculate the total combinations of girls and boys without restrictions, then subtract the cases where both A and B are included. The valid combinations yield a total of 300 teams.
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