How many meaningful English words can be formed with the letters C, E, I, V using each letter only once in each word ?

Options

A. None
B. One
C. Two
D. More than two

Answer

To determine how many meaningful English words can be formed using the letters C, E, I, and V, we will follow these steps:

### Step 1: Identify the letters
The letters we have are C, E, I, and V.

### Step 2: List all possible combinations
We need to create combinations of these letters to form words. Since we are looking for meaningful words, we will consider all possible arrangements of the letters.

### Step 3: Calculate total arrangements
The total number of arrangements of 4 letters can be calculated using the formula for permutations:
\[ n! = n \times (n-1) \times (n-2) \times ... \times 1 \]
For our case, \( n = 4 \):
\[ 4! = 4 \times 3 \times 2 \times 1 = 24 \]
This means there are 24 possible arrangements of the letters C, E, I, and V.

### Step 4: Check for meaningful words
Now, we need to check which of these arrangements form meaningful English words. After checking, we find that the only meaningful word that can be formed is "VICE".

### Step 5: Count the meaningful words
After checking all combinations, we conclude that there is only **1 meaningful word** that can be formed using the letters C, E, I, and V.

### Final Answer
Thus, the answer to the question is **1**.

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