Evaluate ` (41)/( 2!2!) `

Answer

To evaluate the expression \( \frac{41}{2! \cdot 2!} \), we will follow these steps:

### Step 1: Calculate \( 2! \)
The factorial of 2, denoted as \( 2! \), is calculated as follows:
\[ 2! = 2 \times 1 = 2 \]

### Step 2: Substitute \( 2! \) into the expression
Now we substitute \( 2! \) into the original expression:
\[ \frac{41}{2! \cdot 2!} = \frac{41}{2 \cdot 2} \]

### Step 3: Calculate \( 2 \cdot 2 \)
Next, we calculate the product of \( 2 \) and \( 2 \):
\[ 2 \cdot 2 = 4 \]

### Step 4: Substitute back into the expression
Now we substitute this value back into the expression:
\[ \frac{41}{4} \]

### Step 5: Perform the division
Finally, we perform the division:
\[ \frac{41}{4} = 10.25 \]

### Conclusion
Thus, the value of the expression \( \frac{41}{2! \cdot 2!} \) is:
\[ \boxed{10.25} \]

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