statistics
Imagine I asked 1000 1000 people to choose a number between 0 0 and 999 999 (both inclusive, the numbers are not biased, they will be completely random) and write that number down.
What is $1000 choose 326$ $mod {13}$?
The exponent of 13 on the factorisation of $1000!$ is $lfloorfrac {1000} {13}rfloor+lfloorfrac {1000} {13^2}rfloor$ do the same for $326!$ and $674!$ and you''ll find that
Why is kg/m³ to g/cm³1 to 1000?
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
algebra precalculus
For example, the sum of all numbers less than 1000 1000 is about 500, 000 500, 000. So, 168 1000 × 500, 000 168 1000 × 500, 000 or 84, 000 84, 000 should be in the right ballpark. 76127
combinatorics
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
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)...
arithmetic
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
Find the remainder when $7^{7^{7}}$ is divided by 1000
Find the remainder when 777 7 7 7 is divided by 1000 Ask Question Asked 8 years, 6 months ago Modified 8 years, 6 months ago
combinatorics
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?
$1000$ small cubes are assembled into a larger cube. If one layer of
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 on all six