If ¹⁵ C₃ᵣ = ¹⁵ Cᵣ ₊ ₇, then the value of r is
**Permutations and Combinations** is a captivating chapter in the NCERT Maths textbook for Class 11th (CBSE 2024-2025) that delves into the principles of counting and arrangement. It introduces students to factorial notation permutations combinations and their practical applications in problem-solving. This chapter is crucial for understanding advanced topics like probability and statistics. The **MCQ questions** included in the chapter help students assess their knowledge and improve their analytical skills. These questions are designed to reinforce concepts and prepare students for both board exams and competitive tests. By mastering this chapter students develop logical reasoning and problem-solving abilities which are essential for excelling in mathematics and beyond. It’s a gateway to exploring the beauty of mathematical precision.
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Choice (c) is correct.
Given ¹⁵ C₃ᵣ = ¹⁵ Cᵣ ₊ ₇
⇒ 3r = r + 7 or 3r + ( r + 7) = 15
⇒ 2r = 7 or 4r = 8
⇒ r = 7/2 or r = 2
⇒ r = 2
This question related to Chapter 6 maths Class 11th NCERT. From the Chapter 6: Permutations and Combinations. Give answer according to your understanding.
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