Question

There are seven performers who will present their comedy acts this weekend at a comedy club. How many different ways are there to schedule their​ appearances?

Answer 1

There are 5040 different ways to schedule their appearances.

Step-by-step explanation:

Let A,B,C,D,E,F,G be the slots in which the given performs 1,2,3,4,5,6,7 can perform

For A we have 7 choices to select among(1,2,3,4,5,6,7 )

For B we have 6 choices to select among (2,3,4,5,6,7)

For C we have 5 choices to select among (3,4,5,6,7 )

For D we have 4 choices to select among (4,5,6,7 )

For E we have 3 choices to select among (5,6,7 )

For F we have 2 choices to select among (6,7 )

For G we have 1 choice to select (7)

Thus total different choices are 7!=5040