Question
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.)
are there to schedule their appearances?
(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