Recent content by Shahed al mamun

Recently I have faced the following problem. I'm given 3 integers a,b and L where LCM(a,b,c)=L and c is another integer. It is worthy of mentioning that the value of c will be smallest i.e if there are many possible values of c then we have to choose the one which is smallest. I myself solved...

Recently I have known an algebraic theorem on polynomial while learning the method of partial fraction. The theorem is : Any polynomial can be written as the product of linear factors and irreducible quadratic factors. I did not find an intuitive proof of this theorem.I asked a question in this...

6 people are invited to a dinner party and they are sitting on a round table. Each person is sitting on a chair there are exactly 6 chairs. So each person has exactly two neighboring chairs, one on the left and the other on the right. The host decides to shuffle the sitting arrangements. A...

< Mentor Note -- thread moved to HH from the technical math forums, so no HH Template is shown >[/color] N people are invited to a dinner party and they are sitting on a round table. Each person is sitting on a chair there are exactly N chairs. So each person has exactly two neighboring chairs...