Choosing five numbers with difference restriction

For discussing Olympiad Level Combinatorics problems
mutasimmim
Posts:107
Joined:Sun Dec 12, 2010 10:46 am
Choosing five numbers with difference restriction

Unread post by mutasimmim » Fri Sep 05, 2014 10:24 am

In how many ways can you choose $10$ numbers from ${{1,2,3,...,100}}$ such that the difference of any two of them is at least $3$?

mutasimmim
Posts:107
Joined:Sun Dec 12, 2010 10:46 am

Re: Choosing five numbers with difference restriction

Unread post by mutasimmim » Sat Sep 06, 2014 10:42 pm

Plot the numbers on the number line and consider the distances between the numbers.

Post Reply