The square base of a right pyramid has sides of integral length. The height of the pyramid is also an integer. The volume of the pyramid, which is also an integer, is equal to it’s total surface area. What is the height of the pyramid?
floor(12/2017), floor(22/2017), floor(32/2017), …, floor(20172/2017) How many distinct numbers are there in the list of numbers above?
Expression: = Each slot must only contain one number which should only be 2, 3, 4, or 5. Once that number is placed in a slot, it cannot be used again on another inside the expression. In the equality below, apply the rule above. In each of the expressions, each slot must only …
Determine the value of (2016/1)+(2015/2)+(2014/3)+…+(1/2016) / (1/2)+(1/3)+(1/4)+…+(1/2017)
How many sequences of 0s and 1s of length 19 are there that begin with a 0, end with a 0, contain no two consecutive 0s, and contain no three consecutive 1s?
A number is composed of 10 digits containing all digits from 0 to 9 once in a certain order. This number has the following property: If you split this number to 4 parts in the following way: Part 1: is the number which contains the first 4 digits. Part 2: is the number which contains …