Question 959748
4 Slots: A,B,C,D


Each slot represents an appetizer selected


Number of choices for slot A = 9


Number of choices for slot B = 8 ... this is assuming you cannot have repeat appetizers


Number of choices for slot C = 7


Number of choices for slot D = 6


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Multiply them out: 9*8*7*6 = 3,024


If order mattered, then you'd have 3,024 different permutations


Order does matter though. So divide by 4! = 4*3*2*1 = 24 to get 3,024/24 = 126


There are 126 different combinations (where order does not matter)


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Question: A menu at a restaurant offers 9 different appetizers. How many different ways can a group choose 4 appetizers?


Answer: <font size=5 color="red">126</font>



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