Question 935258
The Fundamental Counting Principle finds the number of permutations and combinations as follows:
 
When choosing k of n objects, the number of permutations is 
 
When choosing k of n objects, the number of combinations is 
 
The factorial formulas calculate permutations and combinations this way:
 
When choosing k of n objects, the number of permutations is
 
When choosing k of n objects, the number of combinations is