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A club has 6 girls and 4 boys. A team of 4 people, including a captain chosen from these 4, needs to be formed. If the team can have no more than one boy, how many ways can this be done?
- 380
- 320
- 260
- 95
Correct answer: 380
Solution
To form a team with no more than one boy, we calculate the combinations for teams with 0 boys and 1 boy. For 0 boys, all 4 members are girls, and for 1 boy, there are 3 girls and 1 boy. Adding these cases gives 380 ways.
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