This problem is a part of a coming set-Future Iron Man Contest
The Difficulty of Problems will keep on increasing exponentially.
Here is the problem-
You have 3 sons and decide to divide 1000 coins among them.In How many ways can you divide these 1000 coins among 3 sons and It is possible for some sons to get zero coins.?Let The Answer to this problem be \(M\).
You have 3 sons and decide to divide 1000 coins among them.In How many ways can You divide these 1000 coins among 3 sons And each son must get at least 3 coins? Let the answer be \(N\)
Enter Your Answer As \(M+N\).
Note:This question is extremely easy to solve with combinatorics but I suggest Strongly To Use Logic and solve the question And prove your worth to yourself.