Problem 3

And, this problem is also from Aditya. I guess this will take more time :)

"In general, in a n X n tic tac toe, if we get n consecutive 'X' or 'O' (horizontally ,diagonally, vertically) its a win. The possible number of chances(ways) to win for a given n X n tic tac toe is 2n+2. (n- horizontal, n- vertical, 2 diagonals). If we change the rules as shown below :
Take a variable k which can vary from 1 to n. Even if the user get k consecutive X or O (horizontally ,diagonally, vertically) ,its a win for a given k value in a n X n tic tac toe. The question is what are the possible number of chances(ways) to win. (find an expression in the form of n and k). For example in a 3 X 3 tic tac toe if k = 2 then the number of possible ways to win is 20. your expression should give this value for n=3(nXn) and k=2."

Problem 2

This question I got from Aditya. I hope I can recieve more and more puzzles from him :)
" There are two boxes. One is blue and the other is red. Blue box contains 200 blue balls. Red box contains 200 red balls. 20 blue balls will be shifted from Blue box to Red box. Afterwards you have to close eyes and shift 20 balls from Red box to Blue box. Finally which box contains more number of different colored balls?"

Problem 1

The following problem I came to know from Abhishek, a friend at SUNY, Buffalo. Let's see how long it takes you to get the answer.
"How many cuts you need to divide a cake into 8 equal parts?"
Have fun!

Double Melon Bowls

(From Better Homes and Gardens )

PREP 25 minutes STAND 20 minuets
FREEZE Overnight

INGREDIENTS
2 cups cubed seeded watermelon
1 medium cantaloupe (about 3 pounds), halved and seeded
1 quart vanilla frozen yogurt or ice cream, softened
Sea salt or kosher salt (optional)

PREPARATION
1. Place watermelon cubes in a single layer on a tray or in a shallow baking pan; freeze for 2 or 3 hours or until firm. Transfer to freezer bag or container until needed.

2. With large spoon, remove flesh from cantaloupe , leaving 1/4-inch shell; set fruit aside. Cut thin slide from the bottom of each shell so shell sits flat. Place shells, upside down, on paper towel-lined tray; set aside.

3. Place cantaloupe fruit in food processor or blender; cover and blend or process until smooth. Place fruit mixture in fine mesh sieve set over bowl. Let stand 5 minutes to remove excessive liquid; discard liquid. You should have about 1 cup pulp.

4. In a bowl gently fold pulp into softened frozen yogurt until just combined. Divide frozen yogurt mixture evenly between cantaloupe shells. Place shells on baking sheet or tray. Cover and freeze overnight until very firm.

5. Before serving, let shells stand at room temperature for 20 to 30 minutes to soften slightly. Top with watermelon cubes; sprinkle watermelon lightly with sea salt, if desired. Scoop into serving bowls. Make 6 to 8 serving.