A student has 8 shirts , 5 pairs of pants , and 3 pairs of shoes , how many outfits consisting of a shirt , pair of pants , and pair of shores can this student form ?

Options

A. 16
B. 120
C. 560
D. 4096

Explanation

To solve the problem of how many outfits a student can form with 8 shirts, 5 pairs of pants, and 3 pairs of shoes, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Choices**:
- The student has:
- 8 shirts
- 5 pairs of pants
- 3 pairs of shoes

2. **Calculate the Number of Ways to Choose Each Item**:
- The number of ways to choose 1 shirt from 8 shirts is given by \( 8C1 \), which equals 8.
- The number of ways to choose 1 pair of pants from 5 pairs of pants is given by \( 5C1 \), which equals 5.
- The number of ways to choose 1 pair of shoes from 3 pairs of shoes is given by \( 3C1 \), which equals 3.

3. **Combine the Choices**:
- Since the student needs to choose one of each item (shirt, pants, and shoes), we multiply the number of choices:
\[ \text{Total outfits} = 8C1 \times 5C1 \times 3C1 = 8 \times 5 \times 3 \]

4. **Perform the Multiplication**:
- First, calculate \( 8 \times 5 = 40 \).
- Then, calculate \( 40 \times 3 = 120 \).

5. **Final Answer**:
- The total number of outfits the student can form is **120**.

### Summary:
The student can form a total of **120 outfits** consisting of one shirt, one pair of pants, and one pair of shoes.

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