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Understanding Basics: Permutations and Combinations Video Lecture | Quantitative Aptitude for SSC CGL
FAQs on Understanding Basics: Permutations and Combinations Video Lecture - Quantitative Aptitude for SSC CGL
| 1. What is the difference between permutations and combinations? |  |
Ans.Permutations refer to the arrangement of items where the order matters, while combinations refer to the selection of items where the order does not matter. For example, arranging the letters A, B, and C in different orders (ABC, ACB, BAC, etc.) is a permutation. However, selecting two letters from A, B, and C (AB, AC, BC) is a combination.
| 2. How do you calculate permutations and combinations? | |
Ans.Permutations can be calculated using the formula nPr = n! / (n - r)!, where n is the total number of items, r is the number of items to arrange, and ! denotes factorial (the product of all positive integers up to that number). Combinations are calculated using the formula nCr = n! / [r! * (n - r)!], where n is the total number of items and r is the number of items to choose.
| 3. Can you give an example of when to use permutations instead of combinations? | |
Ans.An example of when to use permutations is when arranging books on a shelf. If you have three books (A, B, and C) and you want to find out how many different ways you can arrange them, you would use permutations because the order of the books matters. The answer would be 3! = 6 different arrangements.
| 4. How do permutations and combinations apply to real-life situations? | |
Ans.Permutations and combinations are used in various real-life situations, such as in arranging seating for events (permutations), forming committees (combinations), or even in probability scenarios like lottery draws. Understanding these concepts helps in making informed decisions based on the arrangement or selection of items.
| 5. What are some common mistakes to avoid when solving permutation and combination problems? | |
Ans.Common mistakes include confusing permutations with combinations, misapplying formulas (like forgetting to account for identical items), and incorrect counting of total items. It's important to carefully read the problem to determine whether order matters and to accurately identify the total number of items involved.
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