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Question Number 170909 by mathlove last updated on 03/Jun/22

1!+2!+3!+....+20000!=?

$$\mathrm{1}!+\mathrm{2}!+\mathrm{3}!+....+\mathrm{20000}!=? \\ $$

Commented by MJS_new last updated on 04/Jun/22

are you serious? even if somebody could give  you the exact number, what would you use  it for?  20000!≈10^(66023)

$$\mathrm{are}\:\mathrm{you}\:\mathrm{serious}?\:\mathrm{even}\:\mathrm{if}\:\mathrm{somebody}\:\mathrm{could}\:\mathrm{give} \\ $$$$\mathrm{you}\:\mathrm{the}\:\mathrm{exact}\:\mathrm{number},\:\mathrm{what}\:\mathrm{would}\:\mathrm{you}\:\mathrm{use} \\ $$$$\mathrm{it}\:\mathrm{for}? \\ $$$$\mathrm{20000}!\approx\mathrm{10}^{\mathrm{66023}} \\ $$

Commented by mathlove last updated on 04/Jun/22

  I want to learn the formula for correct counting

$$ \\ $$I want to learn the formula for correct counting

Commented by Skabetix last updated on 04/Jun/22

Commented by MJS_new last updated on 04/Jun/22

I remember a different version.  Anyway to “learn the formula”one nust  be able to deduce and prove it. In my opinion  it makes no sense trying to learn mathematics  by picking out advanced problems without  yet understanding the foundations.

$$\mathrm{I}\:\mathrm{remember}\:\mathrm{a}\:\mathrm{different}\:\mathrm{version}. \\ $$$$\mathrm{Anyway}\:\mathrm{to}\:``\mathrm{learn}\:\mathrm{the}\:\mathrm{formula}''\mathrm{one}\:\mathrm{nust} \\ $$$$\mathrm{be}\:\mathrm{able}\:\mathrm{to}\:\mathrm{deduce}\:\mathrm{and}\:\mathrm{prove}\:\mathrm{it}.\:\mathrm{In}\:\mathrm{my}\:\mathrm{opinion} \\ $$$$\mathrm{it}\:\mathrm{makes}\:\mathrm{no}\:\mathrm{sense}\:\mathrm{trying}\:\mathrm{to}\:\mathrm{learn}\:\mathrm{mathematics} \\ $$$$\mathrm{by}\:\mathrm{picking}\:\mathrm{out}\:\mathrm{advanced}\:\mathrm{problems}\:\mathrm{without} \\ $$$$\mathrm{yet}\:\mathrm{understanding}\:\mathrm{the}\:\mathrm{foundations}. \\ $$

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