Final answer:
The question asks about the number of combinations possible when choosing 3 side dishes from a menu of 10. The answer, using the combination formula, is 120 different ways.
Step-by-step explanation:
The student is asking about the combination in mathematics, specifically the number of ways to choose 3 side dishes from a total of 10 available side dishes. This can be calculated using the formula for combinations:
C(n, k) = n! / (k!(n-k)!) where
- n is the total number of items,
- k is the number of items to choose,
- ! means factorial.
Here, n = 10 and k = 3, so the equation would be:
C(10, 3) = 10! / (3!(10-3)!) = 120 ways
Vince can choose the side dishes in 120 different ways.