Permutations And Combinations Questions and Answers - Free PDF Download
FAQs on NCERT Solutions For Class 11 Maths Chapter 6 Permutations And Combinations Exercise 6.1 - 2025-26
1. What is the main difference between permutation and combination?
The main difference between permutation and combination is that a permutation is an arrangement where order matters, while a combination is a selection where order does not matter. This is the most critical concept in the Permutations And Combinations Class 11 chapter.
2. Are NCERT Solutions for Permutations and Combinations just a list of final answers?
No, the NCERT Solutions for Class 11 Maths Chapter 6 provide detailed, step-by-step explanations for every problem, not just the final answers. They are designed to show the complete method of solving each question.
3. Is 0! (zero factorial) equal to zero?
No, the value of zero factorial (0!) is defined as 1. This might seem counterintuitive, but it is a crucial convention in mathematics that ensures formulas work correctly. For example, it validates the combination formula nCn = 1, meaning there is only one way to choose n items from a set of n.
4. When should I use the addition principle vs. the multiplication principle in counting?
You use the multiplication principle for tasks that happen together or in sequence (an 'AND' situation), while you use the addition principle for choices that are mutually exclusive (an 'OR' situation). This is known as the Fundamental Principle of Counting.
5. Do I have to pay to get the Permutations and Combinations NCERT PDF?
No, you do not need to pay. A complete and accurate Permutations and Combinations ncert pdf is available as a Free PDF download. This allows students to access all the solved exercise questions for Class 11 Maths Chapter 6 offline, anytime, without any cost.
6. Is arranging items in a circle the same as arranging them in a line?
No, the formula for circular permutations is different from that for linear permutations. The number of ways to arrange 'n' distinct objects in a circle is (n-1)!, whereas for a line, it is n!.
This is because in a circle, there is no fixed starting or ending point. A linear arrangement like ABCD is distinct from BCDA. However, when placed in a circle, these arrangements are identical because each object has the same neighbours.
7. Is nCr always smaller than nPr?
Yes, for r > 1, the value of nCr is always smaller than nPr. The relationship is nCr = nPr / r!. However, for the specific cases where r=0 or r=1, the values of nCr and nPr are equal. This distinction is important for understanding Permutations and Combinations questions and answers in Class 11.
8. Do the Class 11 Maths Chapter 6 solutions only cover the last exercise?
No, a quality NCERT Solutions PDF covers every single question within the chapter, not just the final miscellaneous exercise. This includes all questions from Exercise 6.1, 6.2, 6.3, 6.4, and the Miscellaneous Exercise.
9. Does the order of selection ever matter in a combination?
No, the order of selection never matters in a combination. The very definition of a combination is a selection of items where the sequence is irrelevant. If the order does matter, the problem becomes a permutation. For example, a committee of {A, B} is the same as {B, A}.
10. Is memorizing all the formulas enough to solve Permutations and Combinations Class 11 questions?
No, simply memorizing formulas like nPr and nCr is not enough to master this chapter. True understanding comes from first identifying whether a problem requires a permutation (order matters) or a combination (order doesn't matter).
11. Can I use the standard nPr formula if some items are identical?
No, the standard permutation formula (nPr) is only for arranging distinct items. When some items are identical, you must divide by the factorial of the count of each repeated item to avoid overcounting. The correct formula is n! / (p1! * p2! * ...), where p1, p2 are frequencies of repeated items.
