Answer these questions based on the following information.
A rectangular field of `100xx10` is plotted into 10 square plots of `10xx10`. Happy housing is a first customer who wants to buy 4 contiguous square plots to develop a society for women who are victims of domestic violence. in how many ways can he select 4 such plots that are all adjacent to each other?

Options

A. 7
B. 6
C. 5
D. 40

Answer

To solve the problem, we need to determine how many ways Happy Housing can select 4 contiguous square plots from a total of 10 square plots arranged in a row.

### Step-by-Step Solution:

1. **Identify the Total Number of Plots**:
We have a rectangular field divided into 10 square plots, each measuring 10x10. Therefore, the total number of plots is 10.

2. **Determine the Requirement**:
Happy Housing wants to select 4 contiguous plots. This means that the selected plots must be adjacent to each other.

3. **Visualize the Arrangement**:
Let's label the plots from 1 to 10:
- Plot 1
- Plot 2
- Plot 3
- Plot 4
- Plot 5
- Plot 6
- Plot 7
- Plot 8
- Plot 9
- Plot 10

4. **Count the Starting Positions**:
To select 4 contiguous plots, we can start from different positions:
- If we start from Plot 1, we select Plots 1, 2, 3, and 4.
- If we start from Plot 2, we select Plots 2, 3, 4, and 5.
- If we start from Plot 3, we select Plots 3, 4, 5, and 6.
- If we start from Plot 4, we select Plots 4, 5, 6, and 7.
- If we start from Plot 5, we select Plots 5, 6, 7, and 8.
- If we start from Plot 6, we select Plots 6, 7, 8, and 9.
- If we start from Plot 7, we select Plots 7, 8, 9, and 10.

5. **Calculate the Total Ways**:
The last starting position for selecting 4 plots is from Plot 7. Therefore, the possible starting positions are:
- Starting from Plot 1 to Plot 7 (inclusive).
- This gives us a total of 7 ways to select 4 contiguous plots.

### Final Answer:
Happy Housing can select the 4 contiguous plots in **7 different ways**.