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 any number of tees.

Options

A. 0
B. 1
C. 2
D. 11

Answer

To find the number of ways to select any number of T-shirts from a shelf that has 10 identical red T-shirts, we can approach the problem as follows:

### Step 1: Understand the selection options
We can select any number of T-shirts from 0 to 10. The options are:
- Selecting 0 T-shirts
- Selecting 1 T-shirt
- Selecting 2 T-shirts
- ...
- Selecting 10 T-shirts

### Step 2: Count the selection options
Since the T-shirts are identical, the number of ways to select a specific number of T-shirts is straightforward:
- There is **1 way** to select 0 T-shirts.
- There is **1 way** to select 1 T-shirt.
- There is **1 way** to select 2 T-shirts.
- ...
- There is **1 way** to select 10 T-shirts.

### Step 3: Total the selection options
Now, we can sum the number of ways to select T-shirts:
- Selecting 0 T-shirts: 1 way
- Selecting 1 T-shirt: 1 way
- Selecting 2 T-shirts: 1 way
- ...
- Selecting 10 T-shirts: 1 way

Since there are 11 options (from 0 to 10), we can add them up:
\[ 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 11 \]

### Conclusion
Thus, the total number of ways to select any number of T-shirts from the shelf is **11**.