Question
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There are six performers who will present their comedy acts this weekend at a comedy club. How many different ways
are there to schedule their appearances?
ways
(Type a whole number.)

Ask by Rojas Peterson. in the United States
Dec 11,2024

Upstudy AI Solution

Tutor-Verified Answer

Answer

There are 720 different ways to schedule the appearances.

Solution

To determine the number of different ways to schedule the appearances of six performers, we can use the concept of permutations. The number of ways to arrange distinct items is given by (n factorial), which is the product of all positive integers up to .
For six performers, we calculate :
Calculating this step-by-step:
Thus, the total number of different ways to schedule the appearances of the six performers is

Answered by UpStudy AI and reviewed by a Professional Tutor

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Extra Insights

To find the number of different ways to schedule six performers, we can use the concept of permutations, as the order in which they perform matters. The formula for permutations of items is (n factorial).
For six performers, we calculate .
So, there are different ways to schedule their appearances.
720 ways

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