Question

Basic Principle behind Permutation is:

• A. Principle of Counting
• B. Principle of Mathematical Induction
• C. Both of them
• D. None of them

Answer 1

Answer:

A. Principle of Counting

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.