UPSC Exam > UPSC Videos > UPSC Prelims Paper 2 CSAT - Quant, Verbal & Decision Making > Permutation & Combination
Permutation & Combination Video Lecture | UPSC Prelims Paper 2 CSAT - Quant, Verbal & Decision Making
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FAQs on Permutation & Combination Video Lecture - UPSC Prelims Paper 2 CSAT - Quant, Verbal & Decision Making
| 1. What is the difference between permutation and combination? |  |
Ans. Permutation and combination are both mathematical concepts used to count and arrange objects, but they have distinct differences. Permutation refers to the arrangement of objects in a specific order, while combination refers to the selection of objects without considering the order. In permutation, the order matters, while in combination, the order does not matter.
| 2. How do you calculate the number of permutations? | |
Ans. The number of permutations can be calculated using the formula nPr = n! / (n - r)!, where n is the total number of objects and r is the number of objects selected. The exclamation mark represents the factorial function, which means multiplying a number by all the positive integers less than it down to 1.
| 3. What is the formula for calculating combinations? | |
Ans. The formula for calculating combinations is given by nCr = n! / (r! * (n - r)!), where n is the total number of objects and r is the number of objects selected. The exclamation mark represents the factorial function, which means multiplying a number by all the positive integers less than it down to 1.
| 4. How can permutation and combination be applied in real-life situations? | |
Ans. Permutation and combination have various applications in real-life situations. For example, permutation can be used to calculate the number of possible arrangements of letters in a word, the number of seating arrangements in a theater, or the number of different combinations of lottery numbers. Combination, on the other hand, can be used to calculate the number of different groups that can be formed from a larger set, such as choosing a committee from a pool of candidates.
| 5. What are some common misconceptions about permutation and combination? | |
Ans. One common misconception is that permutation and combination are the same thing. As mentioned earlier, permutation involves the arrangement of objects in a specific order, while combination involves the selection of objects without considering the order. Another misconception is that the number of permutations is always larger than the number of combinations. This is not true, as the number of permutations can be equal to or smaller than the number of combinations, depending on the values of n and r in the formulas.
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