Question

In the school cafeteria, students choose their lunch
from 3 sandwiches, 3 soups, 4 salads, and 2 drinks. How many different lunches are possible for a student
who chooses exactly I sandwich, I soup, I salad, and
1 drink?
F. 2
G. 4
H. 12
J. 36
K. 72

Answer 1

To determine the total number of different lunches possible for a student who chooses exactly 1 sandwich, 1 soup, 1 salad, and 1 drink, we can use the multiplication principle of counting.

1. **Number of sandwiches**: 3
2. **Number of soups**: 3
3. **Number of salads**: 4
4. **Number of drinks**: 2

Now, we multiply the number of choices for each category:

\[
\text{Total lunches} = (\text{Number of sandwiches}) \times (\text{Number of soups}) \times (\text{Number of salads}) \times (\text{Number of drinks})
\]

Substituting in the values we have:

\[
\text{Total lunches} = 3 \times 3 \times 4 \times 2
\]

Now, calculate step by step:

1. \(3 \times 3 = 9\)
2. \(9 \times 4 = 36\)
3. \(36 \times 2 = 72\)

Thus, the total number of different lunches possible is \(72\).

The answer is \(K. 72\).