The worlds first riddle!

[size=8]COFFEE
One cup of each.

I couldn't actually do this experiment because I don't like coffee.[/size]

Mark:

COFFEE
One cup of each.

I couldn't actually do this experiment because I don't like coffee.

Ok! So as not to disadvantage you, what is the answer if we use ?'tea', you do drink tea don't you?

(You have had the same amount of milk as you have had coffee. The cup originally held a cup of coffee (one-sixth plus one-third plus one-half), and you have poured in the same amount of milk)



Remove my first three letters & you have an island. My first half is a circular object



I am often found in salads. You can perform my last four letters from a certain type of board



"This sentence has letters."




ABTOILTITALY

ADREMAPTARKABABILLITEY

[size=8]I don't mind tea, but I rarely drink it.

endive

This sentence has 22 letters.
This sentence has ten letters. (different letters)
This sentence has eleven letters. (again, different letters)
This sentence has twelve letters. (again, different letters)[/size]

Mark:


"I don't mind tea, but I rarely drink it."

Ok, ok, cocoa then - the readership has a right to know the beverage of your choice.


(I am often found in salads. You can perform my last four letters from a certain type of board)
endive


This sentence has 22 letters.
This sentence has ten letters. (different letters)
This sentence has eleven letters. (again, different letters)
This sentence has twelve letters. (again, different letters)


?'Yup, the difference between numerals and letters.'




What do the poor have that the rich want, and is not only bigger than space but longer than time



What two words have the most letters in it



What can fill a room but takes up no space



The more you take the more you leave behind



What is so special about this sequence below


8 5 4 9 1 7 6 10 3 2 0



A large truck is crossing a bridge 1 mile long. The bridge can only hold 14000 lbs, which is the exact weight of the truck. The truck makes it half way across the bridge and stops. A bird lands on the truck.

Does the bridge collapse

[size=8]nothing
?
sound?
?
in alphabetical order[/size]

You have a farm a need to buy three sorts of animals

Horse cost 10 dollar
Goat cost 2.5 dollar
chicken cost 0.10 dollar

Normally you have 100 dollar and nee d to buy 100 animals total, but here is the twist, it is possible to solve the puzzle for x dollar and x animals, but what is the minimal whole number of dollars for x to solve this puzzle?

zero (probably not what you're looking for)

If you don't have to buy at least one of each type of animal, then you can buy 3 goats and 5 chickens for $8.

But you do need to buy atleast one of each.

Mark:

nothing

sound (I had ?'light', but I think ?'sound' is even better)

in alphabetical order





Hi Whim, long time no see, I hope you are well.

In answer to your riddle, I would say : $13





Determine the number of different arrangements of AABBCCDDEE such that each of the following conditions holds.
Each of (a), (b), and (c) is a separate and independent problem.

(a) The two As appear next to each other


(b) The two As are separated


(c) The four vowels (A, A, E, E) are all separated

I well Try, Thanks.

If 13 is the minimum answer you need to buy 13 animals for $13

Well, in that case...
1 horse, 3 goats, and 15 chickens for a total of 19 animals.

[size=8]AABBCCDDEE
(a) 9!/(2!)^4
or 22680
(b) 10!/(2!)^5 - (a)
or 9!/(2!)^4 * 8/2!
or 90720
(c) C(7,2) * 4!/(2!)^2 * 6!/(2!)^2
or 11340[/size]

That's right Mark. I wonder how many possible solutions this puzzle has without the constraint minimum, but with a maximum of 100 animals for $100


19 animals for $19
.
.
.
.
.
100 animals for $100

Each horse requires ten chickens to average $1 per animal.
Three goats require five chickens to average $1 per animal.

Therefore, I suspect all solutions are of the form:
11x + 8y
where x and y are positive integers.

Mark:


AABBCCDDEE
(a) 9!/(2!)^4
or 22680

(b) 10!/(2!)^5 - (a)
or 9!/(2!)^4 * 8/2!
or 90720

(c) C(7,2) * 4!/(2!)^2 * 6!/(2!)^2
or 11340

Is he great or what!



Shari and Pamela are among 10 different women standing in line to enter a theatre. There are exactly 2 people between Shari and Pamela. In how many ways can such a line-up occur


Generalize your solution to the problem above for Shari and Pamela being among n different women standing in line to enter a theatre, with exactly k people between Shari and Pamela



ACACBSEOLSUSTIEBLLYE


AFCTIIGHOTN

[size=8]THEATRE LINE
564,480
2*(n-k-1)*(n-2)!

absolutely inaccessible
fighting action[/size]

Mark:

THEATRE LINE
564,480
2*(n-k-1)*(n-2)!

Or as I saw it 2 * 7 * 8! (same difference)
Shari (S) and Pamela (P), together with the two people between them, make up a fixed unit. With the four people fixed through this requirement, there are six others to account for, or a total of 7 "spots" in the line-up.

First, choose one of the seven spots for the 4-person unit. This can be done in 7 ways. Now, using the six other spots and the two between S and P, permute the 8 other people into these 8 spots. This can be done in 8! ways. Finally, recognize that P and S could change places, thus there are two ways for S and P to arrange each other within the four-person unit. If you don't believe me, just ask Mark.


absolutely inaccessible
fighting action




Alive without breath,
As cold as death;
Never thirsty, ever drinking,
All in mail never clinking.


This thing all things devours:
Birds, beasts, trees, flowers;
Gnaws iron, bites steel;
Grinds hard stones to meal;
Slays king, ruins town
And beats high mountain down.



Thirty white horses on a red hill,
First they champ,
Then they stamp,
Then they stand still.



No legs lay on one-leg, two-legs sat near on three-legs, four legs got some.


A box without hinges, key, or lid,
Yet golden treasure inside is hid.

What was the President's name in 1969



A group of campers have been on vacation so long, that they have forgotten the day of the week. The following conversation ensues.

Darryl: What's the day? I don't think it is Thursday, Friday or Saturday.
Tracy: Well that doesn't narrow it down much. Yesterday was Sunday.
Melissa: Yesterday wasn't Sunday, tomorrow is Sunday.
Ben: The day after tomorrow is Saturday.
Adrienne: The day before yesterday was Thursday.
Susie: Tomorrow is Saturday.
David: I know that the day after tomorrow is not Friday.

If only one person's statement is true, what day of the week is it

What is the missing number and why?

Time