A person has 5 shirts, 4 coat and 7 ties . Number of ways in which he can wear them is

Options

A. 100
B. 140
C. 96
D. 124

Answer

To find the total number of ways a person can wear 5 shirts, 4 coats, and 7 ties, we can use the fundamental principle of counting. According to this principle, if there are multiple independent choices to be made, the total number of combinations can be found by multiplying the number of options available for each choice.

### Step-by-Step Solution:

1. **Identify the number of options for each clothing item:**
- Shirts: 5 options
- Coats: 4 options
- Ties: 7 options

2. **Apply the fundamental principle of counting:**
- The total number of ways to wear one shirt, one coat, and one tie can be calculated by multiplying the number of options for each item:
\[ \text{Total Ways} = (\text{Number of Shirts}) \times (\text{Number of Coats}) \times (\text{Number of Ties}) \]
\[ \text{Total Ways} = 5 \times 4 \times 7 \]

3. **Calculate the product:**
- First, multiply the number of shirts and coats:
\[ 5 \times 4 = 20 \]
- Next, multiply the result by the number of ties:
\[ 20 \times 7 = 140 \]

4. **Conclusion:**
- Therefore, the total number of ways in which the person can wear the shirts, coats, and ties is:
\[ \text{Total Ways} = 140 \]

### Final Answer:
The person can wear the shirts, coats, and ties in **140 different ways**.