In how many ways can a captain and a vice-captain be chosen from a football team of 11 players?
Answer and explanation
Correct answer: A. 110
- Step 1: The two posts are different, so order matters. Step 2. 11 choices for captain and 10 for vice-captain: 11 x 10 = 110. Answer: 110. Why not the others: 55 counts unordered pairs, 121 allows the same player to hold both posts, and 22 adds 11 and 11.
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