Problem

38. How many ways can you order a sandwich if you can order it with or? without ham, mustard, mayo, or cheese?
18
12
21
16

Answer

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Answer

Final Answer: The number of ways you can order a sandwich is \(\boxed{16}\).

Steps

Step 1 :This is a problem of combinations. Each ingredient (ham, mustard, mayo, cheese) can be either included or not included in the sandwich. So for each ingredient, there are 2 possibilities. Since there are 4 ingredients, the total number of combinations would be \(2^4\).

Step 2 :Calculate the total number of combinations: \(num\_ingredients = 4\)

Step 3 :Calculate the total number of combinations: \(num\_combinations = 2^{num\_ingredients} = 16\)

Step 4 :Final Answer: The number of ways you can order a sandwich is \(\boxed{16}\).

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