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Counting: Permutations & Combinations Video Lecture | CSAT Preparation - UPSC
FAQs on Counting: Permutations & Combinations Video Lecture - CSAT Preparation - UPSC
| 1. What is the difference between permutations and combinations? |  |
Ans. Permutations refer to the arrangement of objects in a specific order, while combinations are selections of objects without considering the order.
| 2. How do you calculate the number of permutations of a set of objects? | |
Ans. The number of permutations of a set of objects can be calculated using the formula n! / (n-r)!, where n is the total number of objects and r is the number of objects being arranged.
| 3. What is the formula for calculating combinations? | |
Ans. The formula for calculating combinations is nCr = n! / (r! * (n-r)!), where n is the total number of objects and r is the number of objects being selected.
| 4. When should permutations be used instead of combinations? | |
Ans. Permutations should be used when the order of the objects matters, such as arranging students in a line for a performance. Combinations should be used when the order does not matter, such as selecting a group of students for a project.
| 5. Can you provide an example of a real-world application of permutations and combinations? | |
Ans. One example of a real-world application is in password creation, where the order of characters matters (permutation) but the specific characters chosen do not (combination).
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