Recent content by Awlad Hossain

we have to make n with k integers.k integers will have to be choosen from k ranges.Every range has a minimum value and a maximum value.In how many ways we can make n according to the conditions.For example,k=4,n=10 and the ranges are : 1 1 2 2 3 3 4 4 we can make n in only one way.Another...

Given N positive integers, not necessarily distinct, how many ways you can take 4 integers from the N numbers such that their GCD is 1. One of my friend told me that he can determine the number of ways with inclusion-exclusion principle and found the result 195 for given N=10 and the positive...