INCLUSION-EXCLUSION FORMULA: PROBLEM SOLUTION
In this video, we introduce two important concepts: the complementary approach and the inclusion-exclusion formula. Based on simple set operations, these techniques can be very effective when solving combinatorial problems.
This will be especially relevant for schoolchildren preparing for Olympiads, as such problems are quite common. And it's just beautiful :)
The lesson plan, practice problems, and answers can be found at this link: https://zhestkov.online/public/course...
Even more math at my school: https://zhestkov.online
00:00 Start
00:26 Example 1 (transition to complement)
03:17 Example 2 (transition to complement)
05:25 Example 3 (inclusion-exclusion formula)
06:42 Example 4 (inclusion-exclusion formula)
08:18 Example 5 (round table discussion in pairs)
10:45 Example 6 (intersection of three sets)
12:15 Conclusion
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#Mathematics #Combinatorics #Higher Mathematics