Is
Prove the magic trick for the number
Recall that a number
We want to wrap
Mr Roberts wants to place his little stone sculptures of vegetables on the different shelves around the house. He has
The order of sculptures on the shelf does not matter.
Do there exist two numbers such that their sum, quotient and product would be all equal to each other?
It is easy to construct one equilateral triangle using three identical matches. Is it possible to construct four equilateral triangles by adding just three more matches identical to the original ones?
Find the largest possible number of bishops that can be placed on the
There are
If someone (say Alice) is a friend with someone else (say Bob), then the second student (Bob) is also a friend with the first (Alice).
If Alice is friend with Bob and Bob is friend with Claire, then Alice is also friend with Claire.
Find a misconception in the following statement: under the above conditions Alice is friend with herself.
Theorem: All people have the same eye color.
"Proof" by induction: This is clearly true for one person.
Now, assume we have a finite set of people, denote them as
Find a mistake in this "proof".
Let’s prove that
Let