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Permutation & Combination Video Lecture | Crash Course for CAT

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FAQs on Permutation & Combination Video Lecture - Crash Course for CAT

1. What is the difference between permutation and combination?
Ans. Permutation and combination are both methods used in mathematics to count and arrange objects. The main difference between the two is that permutation considers the order of arrangement, while combination does not. In permutation, the order matters, so different arrangements of the same objects are considered distinct. In combination, the order does not matter, so different arrangements of the same objects are considered the same.
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 chosen for the arrangement. The exclamation mark denotes the factorial of a number, which means multiplying all whole numbers from 1 to that number. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
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 chosen for the combination. The exclamation mark denotes the factorial of a number, as explained in the previous answer.
4. How can permutation and combination be applied in real-life scenarios?
Ans. Permutation and combination have various applications in real-life scenarios. For example, in probability theory, the calculation of possible outcomes and favorable outcomes involves permutations and combinations. In arranging objects or people in a particular order, such as seating arrangements or organizing events, permutation is used. Combination is used in scenarios where the order does not matter, such as selecting a committee from a group of people or choosing a subset of items from a larger set.
5. Can you provide an example of how permutation and combination are used together?
Ans. An example of using permutation and combination together is when calculating the number of possible outcomes in a lottery game. Let's say there are 50 numbers available to choose from, and the player needs to select 5 numbers in the correct order to win the jackpot. This scenario involves both permutation (order matters for the 5 selected numbers) and combination (order doesn't matter for the remaining 45 numbers). The number of possible outcomes would be calculated as 50P5 * 45C0.
791 videos|1 docs|33 tests

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