In a pack of 42 cards, 3 cards are chosen one after the other. Find the number of ways this can be done without replacement:
Pick an option to check yourself, or open the answer below.
Show answer & explanation
Correct answer: C. 68880
Explanation
Order matters and cards are not replaced, so this is a permutation: ⁴²P₃ = 42 × 41 × 40 = 68880.More Discrete Structures and Optimization questions
- A positive integer is selected at random from the set of positive integers not exceeding 200. What is the probability that the selected num…
- Match List I with List IIList I List II A. If the Indian team wins, then it is raining I. Inverse B. If the Indian team does not win, then…
- Let P denote "She is intelligent" and let Q denote "She is happy." Given below are the statements: (a) If she is intelligent, then she is u…
- In a group of 120 people: 65 eat Rice, 45 eat bread, 42 eat curd, 20 eat both Rice and bread, 25 eat both Rice and curd, 15 eat both bread…
- Choose the correct statement for a group G:
- Let m and n be positive integers. Consider: (A) If n ≠ 1, then m < mn. (B) If k is composite, then k = mn where 1 < m, n > k. (C) If mn = 1…