+0  
 
0
102
1
avatar+33 

A standard six-sided die is rolled 6 times. You are told that among the rolls, there was one 1, 2 two's, and 3 three's. How many possible sequences of rolls could there have been? (For example, 1,2,3,3,2,3 is one possible sequence.)

 Jan 27, 2021
 #1
avatar+118667 
+1

This is equivalent  to  finding  out  how many identifiable sequences can be  made  from  1,2,2,3,3,3

 

This is given  by

 

              Number  of  values !

_______________________________________       =  

(Repeated values of 2) ! (Repeated values of 3)! 

 

 

 6!                   720              720

_____   =      _____  =     _____  =      60   identifiable  sequences

2! 3!                2 * 6             12

 

 

 

cool cool cool

 Jan 27, 2021
edited by CPhill  Jan 27, 2021

9 Online Users