Make us think!

We can submit and answer math problems. I absolutely love math. Kind of like the PPC warez joker's corner. Any level of math problems are fine. Feel free to reply here with the answers and how you solved the problem.

UPDATE: I will be now offering WRZ$ Rewards for solved problems.

AximFreakWithx51v

Category: Combinatorics 10th grade.

Problem 1. The Yurek family is made up of eight people. One night, they gather for a family
dinner at their uniformly circular, eight place dinner table. In how many ways can
the Yurek family sit if the two parents must sit together?

Solved by Lord Yuz

Problem 2. Using all the letters, how many distinct new “words” can be produced from the
letters of MATHEMATICS? Note: “SCITAMEHTAM” is considered a
“word”.

Unsolved - 5 WRZ$ Reward

Problem 3. How many subsets of a 25-element set have more than three elements?

Unsolved - 5 WRZ$ Reward

Category: Set Theory 9th Grade

Problem 1. Between 1933 and 1995 there were 11 presidents of the U.S.A. and 14 vice presidents. If 9 of the vice presidents were never presidents, how many of the presidents were never vice presidents?

Unsolved - 2 WRZ$ Reward

Problem 2. Let U = {x:0 <= x <= 10, x real}, A = {x:x > 2}, B = {x:3 <= x<= 7}, and C = {x:2 <= x <= 6}. Find the total length of the set (A intersection (compliment B)) union C). note x <= y means x is less than or equal to y.

Unsolved - 5 WRZ$ Reward

[kareem]

This is an awesome idea. Really like it. Hope you are good with calculus because i'll be posting some questions here

[lifehacker]

Kareem will be using this thread to cheat on his calc homework and get other people to solve the problems for him.

[kareem]

LOL LH brilliant prediction lol jk. I'll be using it mostly if i don't get something or need hlep on something :p

lol. I have a TI-89 Titanium and can cheat on calculus questions
I love lower level problems (like the ones I posted) not calculus.

[Lord Yuz]

I'll have a go at answering the first one

Problem 1. The Yurek family is made up of eight people. One night, they gather for a family
dinner at their uniformly circular, eight place dinner table. In how many ways can
the Yurek family sit if the two parents must sit together?

It depends on what you mean by the two parents "sitting together".

If they must be sitting next to each other then the rest of the family (the remaining 6 people) can be freely arranged in the 6 remaining seats, then multiply that by the two different cases where there are parents vs. rest of family:

6! * 2 = 1440 ways

However if the parents are feeling especially romantic that night and choose to "sit together" in each other's laps, let's count the randy couple as a single entity and distribute the entire family of 7 freely:

7! = 5040 ways

Correct! 6! * 2 = 1440 is the answer. The family is made up of 8 people, not 7 like you said in your post

... and distribute the entire family of 7 freely:...

Has anyone else tried any of the problems?

Category: Techniques of Counting and Probability 9th Grade.

Problem 1. Six points lie on a circle. How many inscribed triangles can be formed by choosing any three of these points as vertices? An example of such a triangle is illustrated in the figure to the right.

Unsolved - 2 WRZ$ Reward

Problem 2. You have a set of 9 books. How many ways are there to select four books from the set of 9 and arrange those 4 on a shelf? Assume that you arrange the books upright and left to right.


Unsolved - 2 WRZ$ Reward

Problem 3. Let all 8 of the kings and queens be removed from a standard deck of playing cards. If 2 cards are drawn (without replacement) from these 8 cards, find the probability that the cards are either both red or both queens. Write your answer as a simplified fraction.

Unsolved - 5 WRZ$ Reward

c'mon, nobody here likes math???

lets get going and do MATH!

stupid question but...
why are most questions nPr and nCr? (combination and premetation???)
I hate that kind....

Just because
Do you want other categories? If so, which?

lo
how about algebra, trig, ....etc

O Lord help me, you can make tons of words using the word Mathematics. I'll start.....