need the solution

For discussing Olympiad Level Combinatorics problems
kh ibrahim
Posts: 17
Joined: Mon May 09, 2016 11:18 am

need the solution

Unread post by kh ibrahim » Sat Jul 08, 2017 7:31 pm

x takes part in three subjects physics, chemistry and mathematics.Each of the subjects is of 100 marks.How many ways can he obtain 200 out of 300?

User avatar
Abdullah Al Tanzim
Posts: 9
Joined: Tue Apr 11, 2017 12:03 am
Location: Dhaka, Bangladesh.

Re: need the solution

Unread post by Abdullah Al Tanzim » Sun Jul 30, 2017 11:35 am

I think it is $ \frac {102.101}{ 2} $. Notice if you get o in physics then you will have only one way to get 200 marks in the three subjects.if you get 1 in physics then you will have 2 ways and for 2 you will have 3 ways and it will go on for o to 100 ..It forms a series that
$ 1+2+3+.............+101$ and the sum of the series is $ \frac {102.101}{2} $... :)
Everybody is a genius.... But if you judge a fish by its ability to climb a tree, it will spend its whole life believing that it is stupid - Albert Einstein

Post Reply