Exercise 7.1
Exercise 7.2
Exercise 7.3
Exercise 7.4
Exercise 7.5
Exercise 7.6
Exercise 7.7
Exercise 7.8
MCQ’s
Unit 7 of the Class 11th Mathematics syllabus focuses on permutations, combinations, and probability, which are essential concepts in combinatorial mathematics and statistics. These concepts help in solving problems related to counting, arrangement, and uncertainty.
Key Topics Covered:
- Permutations:
- Definition: Arrangements of objects in a specific order.
- Formula for permutations of n objects taken r at a time.
- Applications of permutations in real-life scenarios such as arrangements and rankings.
- Combinations:
- Definition: Selections of objects without regard to the order.
- Formula for combinations of n objects taken r at a time.
- Understanding the difference between permutations and combinations through examples.
- Probability:
- Basic concepts and definitions of probability.
- Calculation of probability using classical approaches (theoretical probability).
- Types of events: independent, dependent, and mutually exclusive events.
- The formula for calculating the probability of single and multiple events.
- Applications:
- Real-life applications of permutations, combinations, and probability in various fields such as statistics, finance, and science.
- Problem-solving techniques using these concepts to analyze data and make predictions.
Conclusion:
Unit 7 provides students with a solid understanding of permutations, combinations, and probability, enabling them to apply these concepts in practical situations. Mastery of these topics is crucial for further studies in mathematics, statistics, and related disciplines.