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Shortcuts to Solve Permutation and Combination Question for CAT Video Lecture | Quantitative Aptitude (Quant)

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FAQs on Shortcuts to Solve Permutation and Combination Question for CAT Video Lecture - Quantitative Aptitude (Quant)

1. What are the formulas for calculating permutations and combinations?
Ans. The formula for calculating permutations is nPr = n! / (n-r)! and the formula for calculating combinations is nCr = n! / (r! * (n-r)!), where n represents the total number of objects and r represents the number of objects selected.
2. How do I identify whether a question requires permutations or combinations?
Ans. If the order of selection is important, such as arranging objects in a line, permutations should be used. If the order is not important, such as selecting a group of objects, combinations should be used.
3. How do I solve permutation and combination questions quickly?
Ans. To solve permutation and combination questions quickly, it is important to understand the formulas and practice using them. It is also helpful to identify any patterns or shortcuts that can be used to simplify the calculations.
4. Can you provide an example of a permutation question?
Ans. Sure! An example of a permutation question is: In how many ways can 3 different books be arranged on a shelf? The answer would be 3P3 = 3! = 6, as there are 3 books and 3 positions on the shelf.
5. Can you provide an example of a combination question?
Ans. Of course! An example of a combination question is: In a group of 10 people, how many different committees of 4 can be formed? The answer would be 10C4 = 10! / (4! * (10-4)!) = 210, as there are 10 people and 4 positions on the committee.
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