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Permutation & Probability Basics Video Lecture - GMAT
FAQs on Permutation & Probability Basics
| 1. What are permutations and how are they different from combinations? |  |
Ans.Permutations are arrangements of items in a specific order, while combinations refer to selections of items without regard to order. For example, the arrangements of the letters A, B, and C (ABC, ACB, BAC, BCA, CAB, CBA) are permutations, while the selections of these letters (A, B; A, C; B, C) are combinations.
| 2. How do you calculate the number of permutations of a set of items? | |
Ans.To calculate the number of permutations of a set of n items, you use the formula n!. For example, for 3 items (A, B, C), the number of permutations is 3! = 3 × 2 × 1 = 6.
| 3. In how many ways can you arrange the letters of the word "APPLE"? | |
Ans.The word "APPLE" has 5 letters where 'P' is repeated twice. The number of distinct arrangements is calculated using the formula: 5! / 2! = 120 / 2 = 60.
| 4. What is the difference between independent and dependent events in probability? | |
Ans.Independent events are those where the outcome of one event does not affect the outcome of another (e.g., flipping a coin and rolling a die). Dependent events are those where the outcome of one event influences the outcome of another (e.g., drawing cards from a deck without replacement).
| 5. How do you calculate the probability of an event occurring? | |
Ans.The probability of an event occurring is calculated using the formula: P(A) = Number of favorable outcomes / Total number of possible outcomes. For example, the probability of rolling a 3 on a six-sided die is 1/6, as there is 1 favorable outcome and 6 possible outcomes.
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Apr 20, 2026 Last updated
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