Question: With the pattern found after simplifying the factorials down to 2!-1!/0!, What is the result of 10,000!-9999!/9998!? 10OOC! - 9999! 9998! 21 - 1! =

With the pattern found after simplifying the factorials down to 2!-1!/0!, What is the result of 10,000!-9999!/9998!?

10OOC! - 9999! 9998! 21 - 1! = 2 - 1 = 1 + 3 3!- 2 ! 6 - 2 = 4 1 1 + 5 4 1- 3! 24 - 6 = 2 1 2 51- 4! 120- 24 = 16 3 ! + 9 61 - 5! 720- 120 = 25 41 24 + 1 1 71 - 61 5040- 720 = 36 5 ! 120 + 13 8 ! - 7! 40, 320- 5040 - 49 6 ! 720 +15 9 ! - 8 1 362, 880- 40, 320 64 7 ! 50 40 +17 101 - 9! 3, 628, 800 - 362, 880 = 81 8 ! 40, 320

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