In how many different ways can the letters of the word TABLE be arranged ?
TABLE शब्द के अक्षरों को कितने प्रकार से व्यवस्थित किया जा सकता है?

Options

A. 24
B. 48
C. 60
D. None ot these

Answer

To find the number of different ways the letters of the word "TABLE" can be arranged, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the number of letters**:
The word "TABLE" consists of 5 distinct letters: T, A, B, L, E.

2. **Use the formula for permutations**:
The number of ways to arrange \( n \) distinct objects is given by \( n! \) (n factorial). In this case, \( n = 5 \).

3. **Calculate \( 5! \)**:
\[ 5! = 5 \times 4 \times 3 \times 2 \times 1 \]

4. **Perform the multiplication**:
- First, calculate \( 5 \times 4 = 20 \)
- Next, calculate \( 20 \times 3 = 60 \)
- Then, calculate \( 60 \times 2 = 120 \)
- Finally, calculate \( 120 \times 1 = 120 \)

5. **Conclusion**:
The total number of different ways to arrange the letters of the word "TABLE" is \( 120 \).

### Final Answer:
The letters of the word "TABLE" can be arranged in **120 different ways**.

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