That’s base 604,799, right?
I think I’m off by one.
Whether that’s one or one billion is left as an exercise for the student.
Actually I’m way out of my depth here.
Rather depends on what planet / calendar / timekeeping system you’re talking about, no? I suppose seconds have an objective definition now, but…
[Edit:] actually, if you get time dilation involved… What? I’m taking it too seriously?
What is No factorial?
(I’m pleased to say I understood the joke)
Well excuuuuuuuuuuuuuuuuuuse me!
I would ask for an explanation, but I probably wouldn’t even understand the explanation.
10! = 10x9x8x7x6x5x4x3x2x1 = 3,628,800 = the number of seconds in 6 weeks (6×7×24×60×60)
Is there a name for that type of equation? Is there a 10!!! ?
Factorial.
10!!! would be a really, really, really big number.
From wolfram alpha, not all the digits, I got tired of clicking “more digits”
2.149591984386826822097416660974101201259825743117178860531903805409341951267554 x 10^12098
I give your answer a perfect 10!!!
I’m sure it serves some purpose.
You mean the purpose of the concept of the factorial?
Combinatorics, for a start.
You have one person. There is only one order in which he can stand. 1! = 1.
You have two people, A and B. There are two orders they can stand: AB or BA. 2! = 2.
You have three people, A, B, and C. ABC, ACB, BAC, BCA, CAB, CBA. 3! = 3×2×1 = 6.
You have n people. How many ways are there to order them? Any one of them could be first, then any of the rest could be next, then… until there’s only one person left and they must go last.
n × (n-1) × (n-2) × … × 2 × 1 = n!
How many possible orders are there for a shuffled deck of cards? 52! ≃ 8.065817517×10⁶⁷
Oh, yeah. That’s what I was thinking.
I remember the winter of ‘24. That’s when they started with the factorial jokes. Oh, if we’d only known…
Yeah, the number of jokes really blew up then.
6×7×24×60×60 = 6×7×(8×3×1)×(5×4×3)×(10×3×2)
= 10×(3×3)×8×7×6×54×3×2×1
It’s a cool coincidence, though I’m sorry you have to break up the 9 instead of just moving the numbers around. That means if you shuffled them differently every second it would take you 6 weeks to finish and you’d still never have them group into the factors on the left.