Avatar
go
Follow the dark path or use the light
Kororinpa Marble Mania Pack Shot

Kororinpa Marble Mania

SHARE

Rohit dreams he is in a shop with an infinite amou..

 
 
 
Guest asks: Added May 17th 2012, ID #264302

Question for Kororinpa Marble Mania

Rohit dreams he is in a shop with an infinite amount of marbles. He is allowed to select n marbles. There are marbles of k different colors. From each color there are also infinitely many marbles. Rohit wants to have at least one marble of each color, but still there are a lot of possibilities for his selection. In his effort to make a decision he wakes up.
Now he asks you how many possibilities for his selection he would have had.
Assume that marbles of equal color can't be distinguished, and the order of the marbles is irrelevant.
Input

The first line of input contains a number T <= 100 that indicates the number of test cases to follow. Each test case consists of one line containing n and k, where n is the number of marbles Rohit selects and k is the number of different colors of the marbles. You can assume that 1<=k<=n<=1000000.
Output

For each test case print the number of possibilities that Rohit would have had.
You can assume that this number fits into a signed 64 bit integer.
Example
Input:
2
10 10
30 7

Output:
1
475020
 
 

 
Answers for this Question
 

No answers yet.

Add your answer

Please be as detailed as you can when making an answer. Answers that are too short or not descriptive are usually rejected.

Please do not use this box to ask a question, it will be rejected - this box is for answers ONLY. If you want to ask a question for this game, please use the ask a question box which is above on the right.


BB Codes Guide

Accept submission terms View Terms

You are not registered / logged in.
If you would like to ne notified if/when we have added this answer to the site please enter your email address.
We will only use this address to email the confirmation for this answer.

 

 
 
Who
Questions?
Forum
 
Latest Forum Posts
 
 
 
Need Answers?
 
Game Talk
The Division gets Update 1.2 - New Incursion
The Division gets Update 1.2 - New Incursion
 
June Looking Like Month For Pokemon Sun & Moon News!
June Looking Like Month For Pokemon Sun & Moon News!
 
Big Pokemon Sun & Moon News Coming May 10th?
Big Pokemon Sun & Moon News Coming May 10th?
 
Get Ready for Stellaris
Get Ready for Stellaris