My Math Forum  

Go Back   My Math Forum > High School Math Forum > Probability and Statistics

Probability and Statistics Basic Probability and Statistics Math Forum

LinkBack Thread Tools Display Modes
June 26th, 2017, 11:46 PM   #1
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.
ripper159 is offline  
July 18th, 2017, 07:31 AM   #2
Joined: Jul 2017
From: Denmark

Posts: 11
Thanks: 0

I do not really understand the question but if order doesnt matter i would guess
oscar3 is offline  
July 18th, 2017, 09:17 AM   #3
Senior Member
Joined: May 2016
From: USA

Posts: 1,310
Thanks: 551

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! $
JeffM1 is offline  

  My Math Forum > High School Math Forum > Probability and Statistics

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 05:33 PM
Calculate all possible moves of m distinct balls into a N points space Khadras Calculus 0 January 17th, 2017 10:46 PM
How Many Ways Can 9 People Be Made Into 3 Groups Of 3? EvanJ Probability and Statistics 7 January 11th, 2017 05:59 PM
Select 5 balls from 12 balls, where some balls are identical Skyer Algebra 3 January 6th, 2014 11:26 AM
An urn contains a azure balls and c carmine balls.. (Help) byron123 Advanced Statistics 2 September 10th, 2008 09:39 AM

Copyright © 2019 My Math Forum. All rights reserved.