If ⁿ ⁺ ¹C₃ = 3.ⁿ C₂, then the value of n is
Exploring the essence of counting and arrangement, Chapter 6: Permutations and Combinations in the NCERT Maths textbook for Class 11th (CBSE 2024-2025) is a vital part of the curriculum. It introduces students to factorial notation, permutations, combinations and their applications in solving real-world problems. This chapter lays the foundation for advanced topics like probability and statistics. The inclusion of MCQ questions helps students test their understanding and sharpen their problem-solving skills. These questions are designed to enhance logical reasoning and analytical thinking, making them ideal for both board exams and competitive tests. Mastering this chapter equips students with the tools to tackle complex mathematical challenges with confidence and precision.
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Choice (d) is correct.
Given, ⁿ ⁺ ¹C₃ = 3.ⁿ C₂
(n + 1)!/(n + 1 – 3)! × 3! = (3)× (n)!/ (n – 2)! × 2! ⇒ (n + 1) × (n)!/(n – 2)! ×3 ×2! = 3 × (n)!/(n-2)! × 2!
⇒ n + 1/3 = 3 ⇒ n + 1 = 9 ⇒ n = 8
Class 11th NCERT. From the Chapter 6: Permutations and Combinations. Give answer according to your understanding.
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