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Miscellaneous: Permutations Video Lecture | CSAT Preparation - UPSC
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FAQs on Miscellaneous: Permutations Video Lecture - CSAT Preparation - UPSC
| 1. What is a permutation in mathematics? |  |
Ans. In mathematics, a permutation refers to an arrangement of objects in a specific order. It is a way of selecting and arranging a set of objects without repetition. For example, if we have three different objects A, B, and C, the permutations would include arrangements such as ABC, BAC, CAB, etc.
| 2. How do you calculate the number of permutations? | |
Ans. To calculate the number of permutations, we use the formula nPr = n! / (n - r)!, where n represents the total number of objects and r represents the number of objects to be selected and arranged. The exclamation mark (!) denotes factorial, which means multiplying the number by all positive integers less than it down to 1.
| 3. What is the difference between a permutation and a combination? | |
Ans. The main difference between a permutation and a combination is that a permutation considers the order of objects, while a combination does not. In other words, a permutation is an arrangement of objects in a specific order, whereas a combination is a selection of objects without considering the order.
| 4. Can repetitions occur in permutations? | |
Ans. No, repetitions cannot occur in permutations. When calculating permutations, each object can only be selected and arranged once. For example, if we have three objects A, B, and C, the permutation ABC is different from ACB or BCA. Repetitions would mean considering ABC, ABC, and ABC as different permutations, which is not the case.
| 5. How are permutations useful in real-life applications? | |
Ans. Permutations have various real-life applications. They can be used in fields such as computer science, statistics, and cryptography. Permutations help in analyzing data, generating unique passwords, designing experiments, and organizing events. They are also utilized in algorithms and simulations to solve complex problems efficiently.
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