2007-01-23 21:54:15 · 10 answers · asked by c++master 1 in Science & Mathematics ➔ Mathematics
300! is bigger than 100^300.
2007-01-23 21:57:52 · answer #1 · answered by krissh 3 · 2⤊ 1⤋
I'm not sure because i don't have a calculator that goes that high....
100^300 is 1 with 600 zeros after it.
300! is 300*299*298*297....*2*1
I would guess that 300! is bigger but I don't know for sure.
2007-01-24 06:00:16 · answer #2 · answered by Mathematica 7 · 1⤊ 0⤋
300! is about 3 * 10^614
100^300 is exactly 10^600, so 300! is bigger.
The easy way to see which is bigger is by using the very crude approximation n! ~= (n/e)^n.
300! ~= (300/e)^300 = (3/e)^300 * 100^300 > 100^300.
(n! ~= (n/e)^n * sqrt(2 pi n) is a much better approximation.)
2007-01-24 06:07:14 · answer #3 · answered by Hans S 1 · 1⤊ 1⤋
hey some guys got it wrong its 300! not 300
and about ur problem u have to use log(x) for finding the answer
log10^300=600 so 100^300 is a number with 600 zeros
then u have to calculate log(300!) =log(300)+log(299)+...+log(2) =sum(i=1 to 300:logi ) that u can simply solve it .find the answer and compare them so easy
2007-01-24 06:20:13 · answer #4 · answered by vinchenzo_corleone 2 · 1⤊ 0⤋
300! is bigger than 100^300
2007-01-24 09:24:52 · answer #5 · answered by Anonymous · 0⤊ 1⤋
Well, it sounds stupid but is intersting for me...
I think 100^300 is greater than 300!.
2007-01-24 05:59:07 · answer #6 · answered by Saumya Gupta 1 · 0⤊ 2⤋
i suppose 100^300 is greater. the number 300 is too small campared to 100^300... but maybe i didn't understand very well your question, so, perhaps i am wrong...
2007-01-24 08:04:46 · answer #7 · answered by catmaria1991 2 · 0⤊ 1⤋
300! is bigger than 100^300
100^300 equals 1 with like 600 zeros
300! you are multipling 300*299*298...*2*1
there are one hundred numbers between 200 and 300
2007-01-24 06:24:19 · answer #8 · answered by Poke 2 · 1⤊ 2⤋
100^300 is bigger than 300. I promise.
2007-01-24 06:02:06 · answer #9 · answered by dancer 2 · 0⤊ 3⤋
Yeah, krissh is right. Just use Stirling's formula. Google it, it's easy and useful.
2007-01-24 05:59:28 · answer #10 · answered by gianlino 7 · 2⤊ 2⤋