All language subtitles for 001 Fundamentals of Combinatorics_en

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Would you like to inspect the original subtitles? These are the user uploaded subtitles that are being translated: 1 00:00:03,000 --> 00:00:04,770 Instructor: Welcome back everyone. 2 00:00:04,770 --> 00:00:06,060 In this section of the course, 3 00:00:06,060 --> 00:00:08,490 we are going to examine combinatorics 4 00:00:08,490 --> 00:00:10,203 and how it relates to probability. 5 00:00:11,220 --> 00:00:14,220 For starters, combinatorics deals with combinations 6 00:00:14,220 --> 00:00:17,310 of objects from a specific finite set. 7 00:00:17,310 --> 00:00:20,340 In addition, we will also consider certain restrictions 8 00:00:20,340 --> 00:00:23,340 that can be applied to form combinations. 9 00:00:23,340 --> 00:00:24,840 These restrictions can be in terms 10 00:00:24,840 --> 00:00:28,233 of repetition, order, or a different criterion. 11 00:00:29,490 --> 00:00:33,030 We will explore the three integral parts of combinatorics, 12 00:00:33,030 --> 00:00:37,230 permutations, variations, and combinations. 13 00:00:37,230 --> 00:00:39,150 Then we will use each of these parts 14 00:00:39,150 --> 00:00:41,730 to determine the number of favorable outcomes 15 00:00:41,730 --> 00:00:44,463 or the number of all elements in a sample space. 16 00:00:45,810 --> 00:00:47,040 In a previous lecture, 17 00:00:47,040 --> 00:00:49,350 we talked about the likelihood of winning the lottery 18 00:00:49,350 --> 00:00:52,740 without explaining the whole computational process. 19 00:00:52,740 --> 00:00:54,210 By the end of this section, 20 00:00:54,210 --> 00:00:57,810 you will be able to perform such calculations on your own. 21 00:00:57,810 --> 00:01:00,180 Okay, let's not waste any more time. 22 00:01:00,180 --> 00:01:03,003 Continue to the next lecture and let's get started. 1778

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