Permutations & Combinations · JEE Advanced previous year questions

3 questions asked across 3 exam years, newest first

2024 1 question

Q112024 · 26 May 2024 · Paper 1· Numerical answer
A group of $9$ students, $s_{1}, s_{2}, \dots, s_{9}$ , is to be divided to form three teams $X, Y$ , and $Z$ of sizes $2, 3$ , and $4$ , respectively. Suppose that $s_{1}$ cannot be selected for the team $X$ , and $s_{2}$ cannot be selected for the team $Y$ . Then the number of ways to form such teams, is _____.
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Answer: 665