
arithmetic - How much zeros has the number $1000!$ at the end ...
May 13, 2014 · 1 the number of factor 2's between 1-1000 is more than 5's.so u must count the number of 5's that exist between 1-1000.can u continue?
Creating arithmetic expression equal to 1000 using exactly eight 8's ...
I would like to find all the expressions that can be created using nothing but arithmetic operators, exactly eight $8$'s, and parentheses. Here are the seven solutions I've found (on the Internet)...
Why is kg/m³ to g/cm³1 to 1000? - Mathematics Stack Exchange
Jul 17, 2019 · I understand that changing the divisor multiplies the result by that, but why doesn't changing the numerator cancel that out? I found out somewhere else since posting, is there a way to …
probability - 1/1000 chance of a reaction. If you do the action 1000 ...
A hypothetical example: You have a 1/1000 chance of being hit by a bus when crossing the street. However, if you perform the action of crossing the street 1000 times, then your chance of being ...
combinatorics - The number of bacteria in a culture is 1000 and this ...
Oct 3, 2023 · The number of bacteria in a culture is 1000 and this number increases by 250% every two hours. How many bacteria is present after 24 hours?
algebra precalculus - Multiple-choice: sum of primes below $1000 ...
Jan 30, 2017 · Given that there are $168$ primes below $1000$. Then the sum of all primes below 1000 is (a) $11555$ (b) $76127$ (c) $57298$ (d) $81722$ My attempt to solve it: We know that below …
elementary number theory - multiple approaches/ways to prove that …
Hint $\ $ Examining their factorizations for small $\rm\,N\,$ shows that the power of $3$ dividing the former exceeds that of the latter (by $2),$ so the former cannot divide the latter. It suffices to prove …
What is $1000 \choose 326$ $\mod {13}$? - Mathematics Stack Exchange
Oct 23, 2016 · The exponent of 13 on the factorisation of $1000!$ is $\lfloor\frac {1000} {13}\rfloor+\lfloor\frac {1000} {13^2}\rfloor$ do the same for $326!$ and $674!$ and you'll find that …
sequences and series - Mathematics Stack Exchange
May 28, 2022 · What does the sum of all the numerals from the numbers from $100$ up to $1000$ equal to?
elementary probability - What is the chance that a 1 in 1000 event will ...
Jun 27, 2018 · A big part of this problem is that the "1 in 1000" event can happen multiple times within our attempt. Compare this to if you have a special deck of playing cards with 1000 cards in it, exactly …