How many words can be formed by the letters of the word 'SCHOLAR', if each word starts with 'O' and ends with 'S'?

Answer

To solve the problem of how many words can be formed by the letters of the word 'SCHOLAR' with the condition that each word starts with 'O' and ends with 'S', we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Total Letters**:
The word 'SCHOLAR' consists of 7 letters: S, C, H, O, L, A, R.

2. **Fix the Positions**:
We need to fix 'O' at the beginning and 'S' at the end. This means we have:
- First position: O
- Last position: S

3. **Count Remaining Letters**:
After fixing 'O' and 'S', we are left with the letters: C, H, L, A, R. This gives us a total of 5 letters to arrange.

4. **Calculate Arrangements**:
The number of ways to arrange these 5 letters is given by the factorial of the number of letters. Therefore, we calculate:
\[ 5! = 5 \times 4 \times 3 \times 2 \times 1 = 120 \]

5. **Final Answer**:
Thus, the total number of words that can be formed starting with 'O' and ending with 'S' is 120.

### Final Answer:
The total number of words that can be formed is **120**.

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