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Permutation & Combination: Concept of Derangement for CAT Video Lecture | Quantitative for GMAT

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FAQs on Permutation & Combination: Concept of Derangement for CAT Video Lecture - Quantitative for GMAT

1. What is the concept of derangement in permutation and combination?
Ans. Derangement is a concept in permutation and combination that deals with arranging objects in such a way that none of them occupy their original positions. In other words, it is a permutation where no element appears in its original position.
2. How is derangement different from a regular permutation?
Ans. In a regular permutation, all elements can be arranged in any position, including their original position. However, in derangement, no element can appear in its original position. This restriction makes derangement a bit more challenging and interesting.
3. How do we calculate the number of derangements?
Ans. The number of derangements of n objects can be calculated using the formula: D(n) = n!(1 - 1/1! + 1/2! - 1/3! + ... + (-1)^n/n!) Here, n! represents the factorial of n, and (-1)^n represents the alternating sign.
4. Can derangement be applied to real-life situations?
Ans. Yes, the concept of derangement can be applied to real-life situations. For example, if you have a group of friends and you want to assign each person a Secret Santa without anyone getting their own name, you can use derangement to calculate the number of possible assignments.
5. How can the concept of derangement be useful in probability problems?
Ans. Derangement can be used in probability problems that involve arranging objects or events in a way that none of them occur in their original order. It helps in calculating the probability of such events occurring and provides a different perspective on permutation and combination problems.
110 videos|110 docs|120 tests
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