
arithmetic - How much zeros has the number $1000!$ at the end ...
May 13, 2014 · 1 If a number ends with n n zeros than it is divisible by 10n 10 n, that is 2n5n 2 n 5 n. A factorial clearly has more 2 2 s than 5 5 s in its factorization so you only need to count how many 5 5 …
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 …
$1000$ small cubes are assembled into a larger cube. If one layer of ...
Aug 5, 2019 · 1000 1000 is the number of small cubes in the original cube. Each face of the original cube contains 10 × 10 = 100 10 × 10 = 100 small cubes, so the effect of removing the small cubes …
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 …
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 - Number of ways to invest $\$20,000$ in units of …
Feb 24, 2023 · Number of ways to invest $20, 000 $ 20, 000 in units of $1000 $ 1000 if not all the money need be spent Ask Question Asked 2 years, 11 months ago Modified 2 years, 11 months ago
combinatorics - How many number greater than $1000$ can be …
Mar 21, 2023 · How many number greater than $1000$ can be formed by using the digits $1,1,2,3,4,0$ taken four at a time? I am getting $186$ numbers as my answer. My solution: 1st case all 4 different …
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 …