Recent content by Rogerio

Hi Mathal, I don't know, either. :smile: But I would like to point out that "the largest necessary" is equivalent to "the smallest enough". Maybe someone doesn't understand this.

Saying it is obvius is not a proof. Prove it. :smile:

If 23 have voted, then 1 has voted. So 1 is the smallest number. And this is not "advanced math" - it should be found in an introductory logic text.

That's right, the way puzzles are worded matters a lot! And it seems you have correctly understood my puzzle. However, the answer to your version (which has nothing to do with the original idea) is "ONE" . If, for instance, 23 members had voted for a movie, then there would be one member who...

Hi Mathal, there is at least a movie that received more than 12 votes, necessarily. So, 12 is not the answer.

John = {head,body,arms,legs} class_01 = {Mary, Lucy, John} John is a student, and class_01 is a set of students. Is the head of John a student? Is the head of John a student of class_01? The head of John is not an element of the class_01.

Each one of the 23 members of a moviegoers' club has selected his two favorite movies from a 50 movies list. It is noted that any two members have at least one favorite movie in common. What is the largest number of members that have necessarily selected a same movie? Prove that.

An easy way to understand the answer...

Supposing nobody will arrive before 3pm or after 4pm... :smile:

What about a big number-factorial_of_a_number ? :smile:

Count again... :smile:

Hi Saugata Bose! A digital image (acquired with a digital camera or a scanner, for example) is just a file which describes all the pixels (picture elements) of the image. The "format" of such files is the way the pixels are described. Commonly there is a "file header" based on: the size of...

You could compare the average luminances (and their standard deviations) of the two images, for example. Or the chrominances, if you prefer... :smile: http://en.wikipedia.org/wiki/RGB_color_model http://en.wikipedia.org/wiki/HSL_and_HSV

Once, while visiting Fermat, Chuck Norris showed him a wonderful math proof on Numbers Theory, occupying about half page. He took back the paper when left.

:smile: