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 most 4 tees.

Options

A. 5
B. 1
C. 4
D. 10

Answer

To solve the problem of selecting at most 4 tees from a shelf of 10 identical red tees, we can break it down into the following steps:

### Step 1: Understand the Problem
We have 10 identical red tees, and we need to find the number of ways to select at most 4 tees. "At most 4 tees" means we can select 0, 1, 2, 3, or 4 tees.

### Step 2: Calculate the Number of Ways for Each Case
Since the tees are identical, the number of ways to select a certain number of tees is straightforward:
- **Selecting 0 tees**: There is only 1 way to do this (by not selecting any tees).
- **Selecting 1 tee**: There is only 1 way to select 1 tee (since they are identical).
- **Selecting 2 tees**: There is only 1 way to select 2 tees.
- **Selecting 3 tees**: There is only 1 way to select 3 tees.
- **Selecting 4 tees**: There is only 1 way to select 4 tees.

### Step 3: Sum the Number of Ways
Now, we can sum the number of ways for each case:
- Ways to select 0 tees: 1
- Ways to select 1 tee: 1
- Ways to select 2 tees: 1
- Ways to select 3 tees: 1
- Ways to select 4 tees: 1

Total number of ways = 1 + 1 + 1 + 1 + 1 = 5

### Final Answer
The total number of ways to select at most 4 tees from the shelf is **5**.

---