P&C | Derangement formula proofs | Two methods | Summation formula proof | Recursive formula proof

Method 1 | Summation formula proof | Dn=n!(1-1/1!+1/2!-1/3!+...+(-1)^n/n!)
Method 2 | Recursive formula proof | Dn=(n-1)(Dn-1+Dn-2)

00:00:00 Introduction
00:02:29 Summation formula proof
00:08:35 Recursive formula proof
00:15:02 Converting recursive formula into expanded formula

Dive into the fascinating world of permutations with our definitive guide to the derangement formula. In this must-watch video, we unravel the mystery of derangement using two powerful mathematical tools: the inclusion-exclusion principle and recursive relations. Whether you're a math student, an aspiring mathematician, or a problem-solving enthusiast, this dual-method proof offers a deeper understanding and insight into the logic behind seemingly disorderly arrangements. Sharpen your mathematical skills and get ready to explore the beauty of ordered chaos with our step-by-step proof demonstration. Subscribe for more math magic!

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