At a dinner party, many of the guests exchange greetings by shaking hands with each other while they wait for the host to finish cooking.
After all this handshaking, the host, who didn't take part in or see any of the handshaking, gets everybody's attention and says: "I know for a fact that at least two people at this party shook the same number of other people's hands."
How could the host know this? Note that nobody shakes his or her own hand.
Assume there are N people at the party.
Note that the least number of people that someone could shake hands with is 0, and the most someone could shake hands with is N-1 (which would mean that they shook hands with every other person).
Now, if everyone at the party really were to have shaken hands with a different number of people, then that means somone must have shaken hands with 0 people, someone must have shaken hands with 1 person, and so on, all the way up to someone who must have shaken hands with N-1 people. This is the only possible scenario, since there are N people at the party and N different numbers of possible people to shake hands with (all the numbers between 0 and N-1 inclusive).
But this situation isn't possible, because there can't be both a person who shook hands with 0 people (call him Person 0) and a person who shook hands with N-1 people (call him Person N-1). This is because Person 0 shook hands with nobody (and thus didn't shake hands with Person N-1), but Person N-1 shook hands with everybody (and thus did shake hands with Person 0). This is clearly a contradiction, and thus two of the people at the party must have shaken hands with the same number of people.cleanfunnyshort
It will never ask you any question, but you will still answer it. What is that?
A door bell and a phone call.
A Panda Bear walked into a restaurant. He sat down at a table and ordered some food. When he was finished eating, he took out a gun and shot his waiter. He then left the restaurant.After the police caught up with him, they asked him why he had killed the waiter.He replied, "Look me up in the dictionary." What did the dictionary say?
When they looked up the word "Panda" in the dictionary, it stated, "Panda: Eats shoots and leaves."cleanfunny
A magician was boasting one day at how long he could hold his breath under water. His record was 6 minutes. A kid that was listening said, "that's nothing, I can stay under water for 10 minutes using no types of equipment or air pockets!" The magician told the kid if he could do that, he'd give him $10,000. The kid did it and won the money. How did he do it?
The kid filled a glass of water and held it over his head for 10 minutes.cleanshort
I heard of an invading, vanquishing army sweeping across the land, liquid-quick; conquering everything, quelling resistance. With it came darkness, dimming the light. Humans hid in their houses, while outside spears pierced, shattering stones walls. Uncountable soldiers smashed into the ground, but each elicited life as he died. When the army had vanished, advancing northward, the land was gree and growing, refresh.
If a long dress is evening wear, what is a suit of armor?
What do you get if you cross an elephant and a kangaroo?
Big holes all over Australia!logicmathshort
Take 9 from 6, 10 from 9, 50 from 40 and leave 6. How is it possible?
SIX - 9 (IX) = S
9 (IX) - 10 (X) = I
40 (XL) - 50 (L) = Xfunny
Why did the pilot sit on her alarm clock?
She wanted to be on time.cleanshort
There is a boat with a ladder attached to it, the ladder is eight feet tall. If the water rises four feet how much of the ladder will be on top of the water?
Eight feet, the ladder is attached to the boat.