Alex's favorite restaurant is a buffet-style Chinese restaurant downtown. Each time he goes, he chooses 2 appetizers and 1 entree. If the restaurant has four appetizers and 5 entrees to choose from, how many, times could Alex go to the restaurant without choosing the same combination of dishes?

Question

I know how to do this question. My question is : Is this a permutation or combination? If you can you please solve this by using the formula like nPr or nCr?

Answer 1

I would consider it a "combination" , assuming that the order that you choose the appetizers should not matter

Number of ways
= C(4,2) x C(5,1)
= 6x5
= 30