club

  1. A

    Club Sets and Fodor's Lemma

    I'm trying to obtain a better understanding of what a club set is to get started. I understand what it means for a set to be unbounded with respect to a limit ordinal $\kappa$, but I'm having trouble grasping what it means for a set to be closed in $\kappa$...
  2. Z

    A chess club has 10 members, of whom 6 are men and 4 are women

    A chess club has 10 members, of whom 6 are men and 4 are women. A team of 4 members is selected to play in a match. Find the number of different ways of selecting the team if Given that the 6 men include 2 brothers, find the total numberof ways in which the team can be selected if either...
  3. I

    Physics Grad Stumped By A 12 Year Old's Math Problem

    I am a little embarrassed that I have been unable to answer this question from my 12 year old son's Maths exam paper. I felt it was too tough for a 12 year old. Can anyone solve it? Erdos runs a Maths Club. Each time they meet, they each drink a pint of coffee with milk. The amounts of...
  4. R

    Looking for a highschool student who loves math

    Hello! I am a Chinese highschool student. As you may know, some Chinese delve really deep into mathematics problem solving, and I am one of them. I want to share my research products with people that really LOVE math by recording youtube videos. However, I'm not fluent in English in fields like...
  5. C

    Swim Club Results

    These are the real results from my kids swim club this morning. Note Lane 2 (of 6) won in 25 of the 45 events. Am I right that the chances of this are 1 in (6^45)*25/45. I'm confident about the 6^45 bit being the chance of lane 2 winning each time but is correct to then multiply this by...
  6. C

    Tennis Club Problem

    I'm doing some studying for starting a maths degree in Sept next year and came across this problem in a textbook I'm using for revision. A tennis club has 16 men and 21 women in it. There are 6 married couples in the club. A team of 6 has to be chosen for a tournament that includes 3 of each...
  7. J

    Math Club Ideas?

    I was recently elected president of my college's undergraduate math club and was wondering if you guys had anything cool in mind that we can do for the following year? This year, the math club was boring. We did nothing but watch a movie together. That was it. I'm only going to be a sophomore so...
  8. D

    club set

    Say that a set C \subseteq \omega_1 is club if there is a function f: \omega_1 \rightarrow \omega_1 such that C=\{ \beta \in \omega_1 | f[\beta] \subseteq \beta \}. Show that the intersection of countably many club subsets of \omega_1 is nonempty. Notation: \omega_1 denotes the first...
  9. H

    dinner club algorithm

    I am not sure what to call this algorithm but I am sure ther is a name for it. There is a dinner club with say 30 member. Every week, there should be 6 groups of 5 people that have dinner together. On following weeks, you never want to have any people in a group with people they have had dinner...
  10. J

    A Math Club --> suggestions?

    I am involved in a math club at a university and have been put in charge of planning, essentially, for fall. I do not have much experience in math clubs, and I was hoping that you could offer suggestions as to what should be done, and how the group should be organized. Do you have any ideas...