Another Counting Problem

In how many different ways can 6 objects be arranged in a circular pattern?

How Many Ways Can You Get to 100?

How many strictly positive integer solutions (x, y, z) are there, such that x + y + z = 100

Round Robin Puzzle

I could be wrong, but I don't think I've ever had a round robin tournament here before, so:

A set of soccer matches is to be organized in a "round-robin" fashion, i.e., every participating team plays a match against every other team once and only once.

If 66 matches are totally played, how many teams participated?

Baseball Puzzle

Andy dislikes the catcher.
Ed's sister is engaged to the second baseman.
The center fielder is taller than the right fielder.
Harry and the third baseman live in the same building.
Paul and Allen each won $20 from the pitcher at pinochle.
Ed and the outfielders play poker during their free time.
The pitcher's wife is the third baseman's sister.
The pitcher, catcher, and infielders except Allen, Harry, and Andy, are shorter than Sam.
Paul, Andy, and the shortstop lost $50 each at the racetrack.
Paul, Harry, Bill, and the catcher took a trouncing from the second baseman at pool.
Sam is involved in a divorce suit.
The catcher and the third baseman each have two children.
Ed, Paul, Jerry, the right fielder, and the center fielder are bachelors.
The others are married.
The shortstop, the third baseman, and Bill each cleaned up
$100 betting on the fight.
One of the outfielders is either Mike or Andy.
Jerry is taller than Bill.
Mike is shorter than Bill.
Each of them is heavier than the third baseman.

Using these facts, determine the names of the men playing the various positions on the baseball team. (For you DH fans out there, consider this a National League team, that is, no DH.)

Is Your Head Too Big?

In the old days, which person in the city would wear the biggest hat?

Logging In

From the information given below, can you identify when each logged in and off?

Names: Jimmy, Paul, and Andrew
logging in times: 8:30, 9:00, 9:05
logging off times: 9:30, 10:00, 10:10

1. The one who signed in at 8:30, signed out 40 minutes after Andrew did.
2. The one who signed in at 9:05 signed out at 10:00
3. Paul did not sign in at 8:30

Logic Puzzles Can Be Impossible

Can you determine who solved what difficulty of puzzle, how long it took them and what the puzzle was about?

1. The Easy logic problem puzzle took exactly 30 minutes to solve.

2. Jill solved her logic problem puzzle exactly 20 minutes quicker than the Animal puzzle was solved.

3. Jean solved her logic problem exactly 10 minutes quicker than the puzzle about Caravans, but she didn't solve it in 10 minutes.

4. The Monster puzzle took exactly 3 times as long to solve as the Medium logic problem puzzle.

5. Jane solved a logic problem about Planets (not the Impossible or Hard puzzle), which took exactly twice as long to solve as the Medium puzzle.

6. The Animal logic problem was not solved by Joan and was not the Easy or Impossible puzzle.

Names: Jane, Jean, Jill Joan, and June
Time: 10, 20, 30, 40 and 60 minutes (1 hour)
Puzzle: Animals, Caravans, Monsters, Planets and Vegetables
Difficulty: Very Easy, Easy, Medium, Hard and Impossible