Answer:
12
Step-by-step explanation:
[tex]n_{C} r = \frac{n!}{(n-r)!(r!)} \\\\[/tex]
n is the number of choices
r is the number of Selections we can make
For Sandwiches:
3 Choices w/ 1 Selections
[tex]n = 3\\r = 1\\[/tex]
[tex]n_{C} r = \frac{3!}{(3-1)!(1!)} = 3[/tex]
For Veg.:
2 Choices w/ 1 Selections
[tex]n = 2\\r = 1\\[/tex]
[tex]n_{C} r = \frac{2!}{(2-1)!(1!)} = 2[/tex]
For Dessert.:
2 Choices w/ 1 Selections
[tex]n = 2\\r = 1\\[/tex]
[tex]n_{C} r = \frac{2!}{(2-1)!(1!)} = 2[/tex]
Multiply All Combinations ∴
[tex]3 * 2 * 2 = 12[/tex]
