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Question
l.a. wedding caterers offers a wedding reception buffet. suppose a menu is planned around three different salads, six entrees, four side dishes, and seven desserts. there are eight different choices of salads, ten different choices of entrees, eight different choices of side dishes, and ten different choices of desserts. how many menus are possible? 758016 × menus
Step1: Apply multiplication principle
We calculate the product of the number of choices for each menu component, since we select one option from each category independently.
$\text{Total menus} = 8 \times 10 \times 8 \times 10$
Step2: Compute the product
First multiply $8 \times 10 = 80$, then $8 \times 10 = 80$, then multiply those results.
$80 \times 80 = 64000$
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64000 menus