any hints to prove this?

[Semidevil]

using math, I need to prove that every year(including leap) has at least one friday 13th. very fun problem, but no idea on how to solve?

induction? contrapostive? converse? I have no idea on how to start...

 

[marquee]

use induction.

start by showing that the 13th will fall on every single day of the week for any given year

 

[Aves]

Originally posted by: marquee
use induction.

start by showing that the 13th will fall on every single day of the week for any given year

Interesting choice for a first post.

 

[marquee]

Originally posted by: aves2k

Originally posted by: marquee
use induction.

start by showing that the 13th will fall on every single day of the week for any given year

Interesting choice for a first post.

Yeah, well I can always make a new id and claim to be an atot virgin again

 

[Joker81]

I remember seing an answer to this. Basically instead of proving that friday the 13th exist you use the date for the first sunday or something like that. ie Sunday will be the 1st of the month.

I know you have to do it differently for the leap year so do that one later.