Answer :
Answer:
129168
Step-by-step explanation:
they have 13 appetizer, 23 soup, 24 entree, and 18 dessert options.
Number of 4 course meal ( all unique) that can be made
=13C1×23C1×24C1×18C1
= 13×23×24×18 = 129168
Hence, [tex]129168[/tex] unique [tex]4-[/tex]course meals can be created.
Combination:
The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. In smaller cases, it is possible to count the number of combinations.
Given that,
[tex]13[/tex] appetizer [tex]23[/tex] soup [tex]24[/tex] entree [tex]18[/tex] dessert
[tex]4-[/tex]course meal can be prepared as follows:
[tex]13_C_{1}\times23_C_{1} \times24_C_{1} \times18_C_{1}[/tex] (use combination for each given)
Note: [tex]n_C_{r} =[\frac{n!}{r!(n-r)!} ][/tex]
[tex]13_C_{1}\times23_C_{1} \times24_C_{1} \times18_C_{1}\\=13\times23\times24\times18\\=129168[/tex]
Learn more about the topic of Combination: https://brainly.com/question/11732255