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Solved Examples: Permutations and Combinations Video Lecture | Quantitative Aptitude for SSC CGL
FAQs on Solved Examples: Permutations and Combinations Video Lecture - Quantitative Aptitude for SSC CGL
| 1. What are permutations and how are they different from combinations? |  |
Ans.Permutations refer to the arrangement of items in a specific order, while combinations refer to the selection of items without regard to the order. For example, arranging the letters A, B, and C can yield ABC, ACB, BAC, BCA, CAB, and CBA (6 permutations), whereas choosing 2 letters from A, B, and C gives AB, AC, and BC (3 combinations).
| 2. How do you calculate the number of permutations of n items taken r at a time? | |
Ans.The number of permutations of n items taken r at a time is calculated using the formula P(n, r) = n! / (n-r)!. Here, n! (n factorial) is the product of all positive integers up to n, and (n-r)! accounts for the arrangements of the remaining items not selected.
| 3. What is the formula for combinations, and how is it applied in problems? | |
Ans.The formula for combinations is C(n, r) = n! / [r!(n-r)!]. This formula is used when selecting r items from a total of n items without considering the order. For example, to choose 3 fruits from a selection of 5 different fruits, you would calculate C(5, 3) = 5! / [3!(5-3)!] = 10.
| 4. Can you provide an example of a real-life application of permutations and combinations? | |
Ans.Permutations and combinations are widely used in various fields such as statistics, computer science, and operations research. For instance, in a card game, the arrangement of cards dealt to players can be analyzed using permutations, while the selection of specific cards for a hand can be analyzed using combinations.
| 5. What are some common mistakes to avoid when solving permutation and combination problems? | |
Ans.Common mistakes include confusing permutations with combinations, overlooking the order in which items are arranged, and miscalculating factorials. It's important to carefully read the problem statement to determine whether order matters and to apply the correct formula based on that understanding.
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Oct 06, 2025
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