An e-NFA (epsilon-NFA) is represented using a quintuple, which is a set of five components.

Quintuple Representation:
The quintuple representation of an e-NFA consists of the following components:

1. Set of States (Q): It represents a finite set of states in the e-NFA. Each state is represented by a unique symbol or name. The set of states can be represented as Q = {q0, q1, q2, ...}.

2. Input Alphabet (Σ): It represents a finite set of input symbols or characters that can be read by the e-NFA. The input alphabet can be represented as Σ = {a, b, c, ...}.

3. Transition Function (δ): It represents a function that maps a state and an input symbol to a set of states. The transition function can be represented as δ: Q × Σ → P(Q), where P(Q) represents the power set of Q. For example, δ(q0, a) = {q1, q2} represents that if the e-NFA is in state q0 and reads input symbol 'a', it can transition to states q1 and q2.

4. Initial State (q0): It represents the initial state of the e-NFA. The initial state is a single state from the set of states Q.

5. Set of Final States (F): It represents a set of final or accepting states in the e-NFA. The set of final states can be represented as F = {q3, q4, ...}.

Explanation:
The option 'A' (Quintuple) is the correct answer because an e-NFA is represented using a quintuple, which consists of five components as explained above. The quintuple representation provides a concise and systematic way to define the behavior of an e-NFA.

The other options are not applicable to represent an e-NFA:
- Option 'B' (Quadruple) is incorrect because a quadruple representation is commonly used for representing deterministic finite automata (DFA) and does not capture the additional non-deterministic behavior of an e-NFA.
- Option 'C' (Triple) is incorrect because a triple representation is commonly used for representing regular expressions or regular grammars, which are different formalisms than e-NFAs.
- Option 'D' (None of the mentioned) is incorrect because the representation of an e-NFA requires a formal definition, and the quintuple representation is the standard and widely accepted method for representing an e-NFA.