Hello students, we are providing assertion reason questions for class 11. Assertion Reason questions are the new question format that is introduced in CBSE board. The resources for assertion reason questions are very less. So, to help students we have created chapterwise assertion reason questions for class 11 maths. In this article, you will find assertion reason questions for CBSE Class 11 Maths Chapter 6 Permutation and Combinations. It is a part of Assertion Reason Questions for CBSE Class 11 Maths Series.
| Chapter | Permutation and Combinations |
| Type of Questions | Assertion Reason Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 11 |
| Subject | Maths |
| Useful for | Class 11 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 11 Maths Chapterwise Assertion Reason |
Assertion Reason Questions on Permutation and Combinations
Assertion Reason Questions
Directions:
Each of the following questions consists of two statements: an Assertion (A) and a Reason (R). Answer them by selecting the correct option:
(a) Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(c) Assertion (A) is true, but Reason (R) is false.
(d) Assertion (A) is false, but Reason (R) is true.
Q1. Assertion (A): The number of ways to arrange the letters of the word “SCHOOL” is $\frac{6!}{2!}$.
Reason (R): The formula for permutations of objects with repetition is $\frac{n!}{p_{1}!\cdot p_{2}!\cdots}$.
Answer: (a) Both $A$ and $R$ are true, and $R$ is the correct explanation of $A$.
Difficulty Level: Moderate
Q2. Assertion (A): ${ }^n C_r={ }^n C_{n-r}$ for all $0 \leq r \leq n$.
Reason (R): Choosing $r$ objects from $n$ is the same as choosing $n-r$ objects to leave behind.
Answer: (a) Both $A$ and $R$ are true, and $R$ is the correct explanation of $A$.
Difficulty Level: Moderate
Q3. Assertion (A): The number of 4-digit numbers formed using the digits $1,2,3,4$ without repetition is $4^4$.
Reason (R): Each of the 4 places can be filled by 4 digits.
Answer: (c) Assertion is false, but Reason is true.
Difficulty Level: Tough
Q4. Assertion (A): The number of ways of choosing 3 students out of 10 for a group is 120120120.
Reason (R): In combinations, the order of selection does not matter.
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Difficulty Level: Moderate
Q5. Assertion (A): The number of permutations of 5 items taken 3 at a time is equal to ${ }^5 C_3$.
Reason (R): In permutations, the order of selection is not important.
Answer: (b) Both A and $R$ are false, but $R$ is not the correct explanation of $A$.
Difficulty Level: Tough
Also check
- Probability Class 11 Assertion Reason Questions Maths Chapter 14
- Statistics Class 11 Assertion Reason Questions Maths Chapter 13
- Limits and Derivatives Class 11 Assertion Reason Questions Maths Chapter 12
- Introduction to Three Dimensional Geometry Class 11 Assertion Reason Questions Maths Chapter 11
- Conic Sections Class 11 Assertion Reason Questions Maths Chapter 10
- Straight Lines Class 11 Assertion Reason Questions Maths Chapter 9
- Sequences and Series Class 11 Assertion Reason Questions Maths Chapter 8
- Binomial Theorem Class 11 Assertion Reason Questions Maths Chapter 7
- Permutation and Combinations Class 11 Assertion Reason Questions Maths Chapter 6
- Linear Inequalities Class 11 Assertion Reason Questions Maths Chapter 5
- Complex Numbers and Quadratic Equations Class 11 Assertion Reason Questions Maths Chapter 4
- Trigonometric Functions Class 11 Assertion Reason Questions Maths Chapter 3
- Relations and Functions Class 11 Assertion Reason Questions Maths Chapter 2
- Sets Class 11 Assertion Reason Questions Maths Chapter 1
Topics from which assertion reason questions may be asked
- Fundamental Principle of Counting
- Factorial
- Permutations
- Combinations
These help count arrangements and selections efficiently.
Assertion reason questions from the above given topic may be asked.
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Frequently Asked Questions (FAQs) on Permutation and Combinations Assertion Reason Questions Class 11
Q1: What does the chapter ‘Permutation and Combinations’ cover?
A1: It introduces and builds core mathematical concepts related to permutation and combinations.
Q2: What are assertion reason questions?
A2: These consist of an assertion and a reason. Students evaluate both statements and their relationship.
Q3: Why solve assertion reason questions from Permutation and Combinations?
A3: They enhance understanding and critical thinking around the chapteru2019s key concepts.
Q4: Are these questions helpful for CBSE exams?
A4: Yes, they are competency-based and part of CBSEu2019s exam structure.
