Puzzle 10

There is a theater which sells movie tickets for 0.5 $ . There are 12 people in the queue to buy tickets . 6 people have 0.5 $ change and rest have 1$ . For how many permutations can the theater manage the ticket distribution assuming they have no change during the start of the ticket distribution. (Generalise for 2n people where n people have 0.5$ change, n people have 1 $). (Hint: a very popular theorem in Math world)


Random days, I post a puzzle, math puzzle or mind puzzle or brainteaser or simply logic puzzle. If you have some good puzzles to share, please comment.  

How to make Sabudana

Oil, Onion, Peanuts, Cumin Seeds, Potato
Turmeric, Salt, Chilli powder, little kitchen king masala, Tomato, Cilantro
 Green chillies, Ginger-Garlic paste
Lemon and ofc Sabudana

Puzzle 9

In a village, there are n people with a mark on their forehead, but a person cant see his own mark, cant talk to other people, cant see in the mirror. Each day, people who are sure they have a mark leaves the village. After how many days, can it be determined there is no one left in the village with a mark.
On Day 1,atleast one person in the village has mark on his forehead.

Puzzle 8

Two persons, A & B, perform a card trick with one deck of cards in front of audience in a room. B waits outside the room. A asks a member of the audience to shuffle the deck of cards, select five cards at random and pass them back to A. A looks at all the five cards and hands back one card to the audience member.  A arranges remaining four cards in some way and places them face down. B enters the room and looks at the four cards. Is it possible for B to determine the fifth card which is with the audience member. A & B are only allowed to communicate before the trick. (assume no jokers in the deck)

Puzzle 7

Given a chess board with rooks in their starting positions, in how many ways can you place the two kings such that they are in safe positions.

Puzzle 6

In a village, a lake was surrounded by 4 churches. When flowers are washed in the lake water, they double in number. One day, a person went there with some Lilies. He washed the lilies in lake water before entering each church. In each of the church she deposited the same number of flowers. By the time she was done with all four churches, she had no flower left with her. How many flowers did she deposit in each church? What is the least number of flowers she must have had initially?