[algogeeks] Re: Permutations of combinatorial choices

2008-09-13 Thread Coskun Gunduz
Hi, try to see the problem in a different way; choosing 3 students from a group of 7. This is a simpler point of view. Then let the other 4 students make another group of size 4. I recommend Revolving Door algorithm to find C(7,3), which is covered at Knuth's TAOCP pre-fascicle 3a. There are also

[algogeeks] recurrence relation

2008-09-13 Thread Ajinkya
Hello all, I have a recurrence relation of the form T(n) = T(n-2^log n) + O(n) --- how do i solve such a recurrence relation ? I have tried an approach for this. Is this right ? --- let kn = n-2^log n hence k ranges from 0 < k < [(2^log n - 2^log(n-1))/2n] ie 0 < k < [2^(log n - 2)]

[algogeeks] Permutations of combinatorial choices

2008-09-13 Thread Noam Wolf
Let's say I have 7 students and I would like to find out how many different ways I can arrange them in two groups, one of size 3 and one of size 4. The answer is simple, using binomial coefficient we can compute: 7 choose 4 = (7 / 4) = 35 and 7 choose 3 = (7 / 3) = 35 Now, I would like to print