Question

1. -/1 points

eight people arrive at the ticket counter of starlite cinema at the same time. in how many ways can they line up to purchase their tickets?
ways
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ebook
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1. -/1 points

l.a. wedding caterers offers a wedding reception buffet. suppose a menu is planned around five different salads, seven entrees, five side dishes, and eight 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?
menus
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ebook

Explanation:

Step1: Calculate permutations for 8 people

This is a permutation of 8 distinct items, so we use $n!$ where $n=8$.
$8! = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1$

Step2: Calculate total menu combinations

Multiply the number of choices for each menu category.
$8 \times 10 \times 8 \times 10$

Answer:

1. $40320$ ways
2. $6400$ menus