Question

Some workers are to stay in a dormitory with 50 rooms.

How many workers must there be to guarantee that at least one of the rooms will have at least 5 workers?

Answer 1

how do i apply pigeonhole principle in this case?

Answer 2

wait this is a math question

Answer 3

pidgeonhole principle?

Answer 4

yes

Answer 5

no clue what that is, but I would assume this method, how many workers would you need to have exactly 4 per room?

Answer 6

http://mindyourdecisions.com/blog/2008/11/25/16-fun-applications-of-the-pigeonhole-principle/#.VILCDlWJOuY

Answer 7

but that is if there is an even displacement,

Answer 8

you see there is also a smart alec response to this

Answer 9

LOL no replacement

Answer 10

what?

Answer 11

We are supposed to find the number of workers so that at least one of the rooms will have 5 workers in it.

Answer 12

ok, so let's go with smart alec response

Answer 13

what if you have 5 bffs?

Answer 14

this isnt multiple choice

Answer 15

exactly

Answer 16

...why are you asking that? this is a logic question. Multiple choice is the ruin of math... i swear

Answer 17

but so yea, i would have two answers here, my smart alec answer and my "I'm reading the question and I know what you want, but you should have stated it better" answer

Answer 18

so, let's talk about the should've stated it better answer

Answer 19

please do so :D

Answer 20

so I pose, if you were to evenly distribute the peopple into the rooms, how many workers would you need for 1 worker in each?

Answer 21

i dont know

Answer 22

oh come on... you have 50 rooms

Answer 23

you put 1 person in each, how many people?

Answer 24

50 rooms in total if 1 person in one room

Answer 25

ok how about 2?

Answer 26

100!

Answer 27

ok how about 3?

Answer 28

150

Answer 29

4?

Answer 30

200!

Answer 31

ok so now, you have evenly distributed 4 people into each room. What is the minimum number you would need to have 1 room with 5 people?

Answer 32

+1 LOL

Answer 33

DAMN IT MAN

Answer 34

what +1?

Answer 35

please be specific so I know you got it right

Answer 36

According to the pigeonholes principle, if the number of workers is greater than the amount of rooms available. Then at least 5 workers will share the room.

Answer 37

same*

Answer 38

ok the non smart alec solution

Answer 39

BUT IT MAKES SENSE DUDE

Answer 40

your explanation is wrong though dude

Answer 41

by the pigeonhole principle, your answer is wrong. You need the second solution we got

Answer 42

whats the second solution?

Answer 43

... the +1 solution I was asking you for

Answer 44

ie, what number +1

Answer 45

pigeon + 1

Answer 46

number of workers needed

Answer 47

... please tell me you are messing with me and we didn't just spend 15 minutes solving this and you still don't know the answer

Answer 48

THE ANS IS 201 DUDE

Answer 49

thankyou