JEE Advanced 2024 Mathematics question
A group of 9 students, , is to be divided to form three teams , , and of sizes 2, 3, and 4, respectively. Suppose that cannot be selected for the team , and cannot be selected for the team . Then the number of ways to form such teams, is .
Answer: 665
Solution
Without restriction: . With : choose its partner (8 ways), then Y from the remaining 7: . With : choose 2 more for Y (),
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