When sampling r objects from a population of n objects you can...
1) Sample with replacement or without replacement
2) Sample with order (ordered) or without order (unordered)
 
NOTE: With Order means that sample '1 2' would be counted separately from sample  '2 1'
but Without Order means they would not be counted separately.
 
The table below summarizes the enumeration methods for the four cases.
 
With Order
Without Order
With Replacement
nr      
n-1+rCr  
Without Replacement
nPr    
nCr