Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  Which one of the following is the recurrence ... Start Learning for Free
Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.
  • a)
    T(n) = 2T (n/2) + cn
  • b)
    T(n) = T(n – 1) + T(0) + cn
  • c)
    T(n) = 2T (n – 2) + cn
  • d)
    T(n) = T(n/2) + cn
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Which one of the following is the recurrence equation for the worst ca...
The recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n elements is:

T(n) = T(n-1) + T(0) + O(n)

This equation states that the time complexity of sorting n elements is equal to the time complexity of sorting n-1 elements (to partition the array), plus the time complexity of sorting 0 elements (when the partition size becomes 0), plus the time complexity of partitioning the array (which is O(n) in the worst case).
Free Test
Community Answer
Which one of the following is the recurrence equation for the worst ca...
In worst case, the chosen pivot is always placed at a corner position and recursive call is made for following. a) for subarray on left of pivot which is of size n-1 in worst case. b) for subarray on right of pivot which is of size 0 in worst case.
Explore Courses for Computer Science Engineering (CSE) exam
Question Description
Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n) = 2T (n/2) + cnb)T(n) = T(n – 1) + T(0) + cnc)T(n) = 2T (n – 2) + cnd)T(n) = T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n) = 2T (n/2) + cnb)T(n) = T(n – 1) + T(0) + cnc)T(n) = 2T (n – 2) + cnd)T(n) = T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n) = 2T (n/2) + cnb)T(n) = T(n – 1) + T(0) + cnc)T(n) = 2T (n – 2) + cnd)T(n) = T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n) = 2T (n/2) + cnb)T(n) = T(n – 1) + T(0) + cnc)T(n) = 2T (n – 2) + cnd)T(n) = T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n) = 2T (n/2) + cnb)T(n) = T(n – 1) + T(0) + cnc)T(n) = 2T (n – 2) + cnd)T(n) = T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n) = 2T (n/2) + cnb)T(n) = T(n – 1) + T(0) + cnc)T(n) = 2T (n – 2) + cnd)T(n) = T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n) = 2T (n/2) + cnb)T(n) = T(n – 1) + T(0) + cnc)T(n) = 2T (n – 2) + cnd)T(n) = T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n) = 2T (n/2) + cnb)T(n) = T(n – 1) + T(0) + cnc)T(n) = 2T (n – 2) + cnd)T(n) = T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n(≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.a)T(n) = 2T (n/2) + cnb)T(n) = T(n – 1) + T(0) + cnc)T(n) = 2T (n – 2) + cnd)T(n) = T(n/2) + cnCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev