Statistics for Data Science 1 - W5_L3: Permutations & combinations - permutations: distinct objects

Welcome to Week 5 Lecture 3 of the course "Statistics for Data Science - I" by Prof. Andrew Thangaraj. Full Course: https://study.iitm.ac.in/ds/course_pages/BSMA1002.html Video Overview This lecture provides a formal introduction to permutations and explains their significance in understanding arrangements of distinct objects. We’ll explore what “distinct” means and why it matters in ordered arrangements. Through clear examples, the lecture builds up to the permutation principle, showing how to calculate the total number of arrangements when selecting either a subset or all objects, both with and without replacement. Practical examples, such as committee formation and digit arrangement, demonstrate how permutation formulas are applied in real-world and mathematical contexts. About IIT Madras' online Bachelor of Science programme IIT Madras offers four-year BS programmes that aim to provide quality education to all, irrespective of age, educational background, or location. The BS programme has multiple levels, which provide flexibility to students to exit at any of these levels. Depending on the courses completed and credits earned, the learner can receive a Foundation Certificate from IITM CODE (Centre for Outreach and Digital Education), Diploma(s) from IIT Madras, or BSc/BS Degrees from IIT Madras. For more details, Visit: https://www.iitm.ac.in/academics/study-at-iitm/non-campus-bs-programmes #Permutation #Combinatorics #Mathematics #DiscreteMath #Arrangements #OrderedArrangements #DistinctObjects #MathLecture #Probability #Maths #CountingPrinciples #Factorial #NPR #MathTutorial #MathHelp #Statistics #DataScienceEducation #QuantitativeMethods #ProblemSolving