
Probability and Statistics Basic Probability and Statistics Math Forum 
 LinkBack  Thread Tools  Display Modes 
June 27th, 2017, 12:46 AM  #1 
Newbie Joined: Jun 2017 From: HCM Posts: 1 Thanks: 0  How to calculate ways of putting 5 groups of balls into 6 places
Hi, I've run into a puzzle and haven't found a solution yet. hope someone can help me out. The problem is as below: I have 5 groups of balls: Group 0: 01  09 Group 1: 10  19 Group 2: 20  29 Group 3: 30  39 Group 4: 40  45 And I need to arrange these five groups of balls into 6 places. Order doesn't matter, repetition is allowed. What formula should we use to calculate ways of putting 5 groups of balls into 6 places? I arranged it manually and the result I found was 210, but I don't know how to calculate it. looking forward to your help. thank you. 
July 18th, 2017, 08:31 AM  #2 
Newbie Joined: Jul 2017 From: Denmark Posts: 11 Thanks: 0 
I do not really understand the question but if order doesnt matter i would guess P(n,k)=n!/(nk)! 
July 18th, 2017, 10:17 AM  #3 
Senior Member Joined: May 2016 From: USA Posts: 823 Thanks: 335 
If I understand the question (a big if there) there are six ways to choose the place that does not get a group, right? Let's call the five remaining places A, B, C, D, E. There are five groups that could go in A, then four remaining, either of which could go in B, and three remaining that could go in C, and two remaining that could go in D, and only one left that could go in E. So $6 * 5 * 4 * 3 * 2 * 1 = 720 = 6! $ 

Tags 
balls, calculate, groups, places, putting, ways 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
How Many Combinations Are There When 190 Balls Are Drawn Into Groups Of 10?  EvanJ  Probability and Statistics  4  June 26th, 2017 06:33 PM 
Calculate all possible moves of m distinct balls into a N points space  Khadras  Calculus  0  January 17th, 2017 11:46 PM 
How Many Ways Can 9 People Be Made Into 3 Groups Of 3?  EvanJ  Probability and Statistics  7  January 11th, 2017 06:59 PM 
Select 5 balls from 12 balls, where some balls are identical  Skyer  Algebra  3  January 6th, 2014 12:26 PM 
An urn contains a azure balls and c carmine balls.. (Help)  byron123  Advanced Statistics  2  September 10th, 2008 10:39 AM 