If Minimum (x,y,z) = Minimum of (xy, yz, zx)
Maximum (x,y,z) = Maximum of `(x^y , y^z , z^x)`
Labh (x,y,z) = Average of `(x, y , z)`
Hani `(x, y , z)` = Modulus of `(x - y - z)` i.e., `|x - y - z|`
The value of Minimum (1, 2, 3) + Maximum (1, 2, 3, is :

Options

A. 10
B. 8
C. 12
D. 4

Answer

To solve the problem step by step, we need to evaluate the minimum and maximum values as defined in the question.

### Step 1: Identify the values of x, y, and z
Given:
- \( x = 1 \)
- \( y = 2 \)
- \( z = 3 \)

### Step 2: Calculate Minimum(x, y, z)
According to the problem, we need to find:
\[ \text{Minimum}(x, y, z) = \text{Minimum}(xy, yz, zx) \]

Calculating the products:
- \( xy = 1 \times 2 = 2 \)
- \( yz = 2 \times 3 = 6 \)
- \( zx = 3 \times 1 = 3 \)

Now, we find the minimum of these values:
\[ \text{Minimum}(2, 6, 3) = 2 \]

### Step 3: Calculate Maximum(x, y, z)
Next, we need to find:
\[ \text{Maximum}(x, y, z) = \text{Maximum}(x^y, y^z, z^x) \]

Calculating the powers:
- \( x^y = 1^2 = 1 \)
- \( y^z = 2^3 = 8 \)
- \( z^x = 3^1 = 3 \)

Now, we find the maximum of these values:
\[ \text{Maximum}(1, 8, 3) = 8 \]

### Step 4: Calculate the final result
Now we sum the minimum and maximum values:
\[ \text{Result} = \text{Minimum}(1, 2, 3) + \text{Maximum}(1, 2, 3) = 2 + 8 = 10 \]

### Final Answer
The value of Minimum(1, 2, 3) + Maximum(1, 2, 3) is:
\[ \boxed{10} \]