Line 1: Line 1:
---Pg.381 Problem #54---
+
--Pg.381 Problem #54--
  
 
54)  How many ways are there to distribute five indistinguishable objects into three indistinguishable boxes?
 
54)  How many ways are there to distribute five indistinguishable objects into three indistinguishable boxes?

Revision as of 08:57, 28 September 2008

--Pg.381 Problem #54--

54) How many ways are there to distribute five indistinguishable objects into three indistinguishable boxes?


  • For each way to distribute objects, list the number of objects in the boxes with the box containing the largest number of objects first.

BOXES 1-3

  • 1st way 5, 0, 0
  • 2nd way 4, 1, 0
  • 3rd way 3, 2, 0
  • 4th way 3, 1, 1
  • 5th way 2, 2, 1
  • So, there are 5 ways to distribute 5 indistinguishable objects into three indistinguishable boxes

--Ehanna 12:55, 28 September 2008 (UTC)

Alumni Liaison

Correspondence Chess Grandmaster and Purdue Alumni

Prof. Dan Fleetwood