Commerce Exam  >  Commerce Notes  >  Mathematics (Maths) Class 11  >  NCERT Solutions: Exercise 6.2 - Permutations And Combinations

NCERT Solutions Class 11 Maths Chapter 6 - Permutations and Combinations

Q1: Evaluate
(i) 8!                                      
(ii) 4! – 3!
Ans: (i) 8! = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 = 40320
(ii) 4! = 1 × 2 × 3 × 4 = 24
3! = 1 × 2 × 3 = 6
∴ 4! – 3! = 24 – 6 = 18

Q2: Is 3! 4! = 7!?
Ans: -  3! = 1 × 2 × 3 = 6
4! = 1 × 2 × 3 × 4 = 24
∴ 3! 4! = 6 24 = 30
7! = 1 × 2 × 3 × 4 × 5 × 6 × 7 = 5040
∴ 3! 4! ≠ 7!

Q3: Compute 
NCERT Solutions Class 11 Maths Chapter 6 - Permutations and Combinations
Ans:

NCERT Solutions Class 11 Maths Chapter 6 - Permutations and Combinations

Q4: If 
NCERT Solutions Class 11 Maths Chapter 6 - Permutations and Combinations, find x.
Ans:

NCERT Solutions Class 11 Maths Chapter 6 - Permutations and Combinations

Q5: Evaluate 
NCERT Solutions Class 11 Maths Chapter 6 - Permutations and Combinations, when
(i) n = 6, r = 2
(ii) n = 9, r = 5
Ans: (i) When n = 6, r = 2, NCERT Solutions Class 11 Maths Chapter 6 - Permutations and Combinations
(ii) When n = 9, r = 5, NCERT Solutions Class 11 Maths Chapter 6 - Permutations and Combinations
NCERT Solutions Class 11 Maths Chapter 6 - Permutations and Combinations

The document NCERT Solutions Class 11 Maths Chapter 6 - Permutations and Combinations is a part of the Commerce Course Mathematics (Maths) Class 11.
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FAQs on NCERT Solutions Class 11 Maths Chapter 6 - Permutations and Combinations

1. How do I differentiate between permutations and combinations in mathematics?
Ans. In permutations, the order of arrangement matters, while in combinations, the order does not matter. Permutations are used when the ordering of objects is important, while combinations are used when the ordering does not matter.
2. What is the formula for calculating permutations?
Ans. The formula for calculating permutations is P(n, r) = n! / (n - r)!, where n is the total number of items and r is the number of items being chosen.
3. Can permutations and combinations be applied in real-life scenarios?
Ans. Yes, permutations and combinations can be applied in various real-life scenarios such as arranging seats in a classroom, selecting a committee from a group of people, or creating passwords for security systems.
4. How can I solve complex permutation and combination problems effectively?
Ans. To solve complex permutation and combination problems effectively, it is important to understand the problem statement clearly, identify the number of items and the number of choices being made, and apply the appropriate formula based on whether it is a permutation or combination problem.
5. Are there any shortcuts or tricks for solving permutation and combination problems quickly?
Ans. Yes, there are certain shortcuts and tricks that can help in solving permutation and combination problems quickly, such as using the factorial notation, understanding the concept of repetition, and practicing different types of problems to build familiarity with the concepts.
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