Answer these questions based on the following information.
At DLF mall Gurugram, there is a store that sells premium T-shirts. At this store there is a self that has exactly 10 red tees (or T-shirts) of same colour, size and style, and I am interested in buying tees from this shelf only.
Find the number of ways of selecting at least 4 tees.

Options

A. 4
B. 1
C. 2
D. none of these

Answer

To solve the problem of selecting at least 4 T-shirts from a shelf of 10 identical red T-shirts, we can break it down step by step.

### Step-by-Step Solution:

1. **Understanding the Problem:**
We have 10 identical red T-shirts, and we need to find the number of ways to select at least 4 T-shirts.

2. **Defining the Selection Criteria:**
Since we need to select at least 4 T-shirts, we can select 4, 5, 6, 7, 8, 9, or 10 T-shirts. This gives us the following possible selections:
- Selecting 4 T-shirts
- Selecting 5 T-shirts
- Selecting 6 T-shirts
- Selecting 7 T-shirts
- Selecting 8 T-shirts
- Selecting 9 T-shirts
- Selecting 10 T-shirts

3. **Calculating the Number of Ways:**
Since the T-shirts are identical, the number of ways to select a specific number of T-shirts is always 1. Therefore, for each selection from 4 to 10, there is only one way to select that number of T-shirts.

- For 4 T-shirts: 1 way
- For 5 T-shirts: 1 way
- For 6 T-shirts: 1 way
- For 7 T-shirts: 1 way
- For 8 T-shirts: 1 way
- For 9 T-shirts: 1 way
- For 10 T-shirts: 1 way

4. **Totaling the Ways:**
Now, we add the number of ways for each selection:
\[ 1 + 1 + 1 + 1 + 1 + 1 + 1 = 7 \]

5. **Conclusion:**
Therefore, the total number of ways to select at least 4 T-shirts from the shelf of 10 identical T-shirts is **7**.

### Final Answer:
The number of ways of selecting at least 4 tees is **7**.