The problem describes a money locker in a teller machine that opens when electricity is available and the cashier's fingerprint or face is identified. We need to determine the correct order of logic gates to represent this process.

1. Problem Description

The problem describes a money locker in a teller machine that opens when electricity is available and the cashier's fingerprint or face is identified. We need to determine the correct order of logic gates to represent this process.

2. Solution Steps

Let's analyze the conditions required for the money locker to open:

- Electricity must be available.

- Either the fingerprint or the face of the cashier must be identified.

First, we consider the fingerprint or face identification. Since either one of these conditions being true is sufficient for the locker to proceed, we use an OR gate. Let's say that:

$A$ = Fingerprint is identified

$B$ = Face is identified

Then the output of the OR gate is $A$ OR $B$.

Next, we consider the electricity condition. The locker opens only if electricity is available AND the fingerprint or face is identified. The output of the OR gate representing the fingerprint/face identification must be combined with the electricity availability using an AND gate. Let's say that:

$C$ = Electricity is available.

So the final condition for the locker to open is:

$C$ AND ($A$ OR $B$).

Thus, the order of logic gates is OR gate followed by an AND gate.

3. Final Answer

(1) OR gate and AND gate