Question

in how many ways can six people line up at a checkout counter in a supermarket?
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1. - / 1 points

in how many ways can the names of nine candidates for political office be listed on a ballot?
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Explanation:

Step1: Calculate permutations for 6 people

This is a factorial problem: $6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1$

Step2: Compute the value of $6!$

$6! = 720$

Step3: Calculate permutations for 9 candidates

This is a factorial problem: $9! = 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1$

Step4: Compute the value of $9!$

$9! = 362880$

Answer:

1. 720
2. 362880