APrinciple of Counting
BPrinciple of Mathematical Induction
CBoth of them
DNone of them
Answer:
A. Principle of Counting
Read Explanation:
The basic principle behind permutation is the Principle of Counting (specifically, the Fundamental Counting Principle).
Principle of Counting: This principle states that if one event can occur in $m$ ways and a second event can occur independently in $n$ ways, then the two events can occur together in $m \times n$ ways. Since permutations are all about arranging items in a specific order, we continuously multiply the number of available choices left for each slot.
Principle of Mathematical Induction: This is a technique used to prove mathematical theorems, formulas, or identities for all natural numbers, rather than finding arrangements or counting possibilities.