.
Find the sum of reciprocals of all positive divisors of 360.
Tuesday, 23 December 2014
1, 2, 3, 4, 5
Consider
all the 5-digit numbers containing each of the digits 1, 2, 3, 4, 5
exactly once, and not divisible by 6. Find the sum of all these numbers.
exactly once, and not divisible by 6. Find the sum of all these numbers.
100 CHOCOLATES
In how many ways can you distribute 100 identical chocolates among
10 children so
that the number of chocolates everyone gets is a multiple of 3,
allowing some chocolates
to be undistributed?
[In solving this problem, you should take 0 to be a
multiple of 3.]
Friday, 12 December 2014
Subscribe to:
Posts (Atom)
Define \(f: \mathbb{R} \rightarrow \mathbb{R}\) by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, ...
-
A moth starts at vertex A of a certain cube and is trying to get to vertex B, which is opposite A, in five or fewer “steps,” where a step ...
-
Find all polynomial \(P(x)\) with degree \(\leq n\) and non negative coefficients such that \[P(x)P(\frac{1}{x})\leq P(1)^2\]for all positiv...
-
The harmonic mean of two positive integers is 2006. Find the greatest possible value of their arithmetic mean.