Problem :
George has 5 different meals to cook in the next 5 days. In how many different
orders can he eat his meals?
5! = 120 different orders.
Problem :
10 people are standing in line at the movie theater. In how many different ways
can they stand?
10! = 3628800 different ways.
Problem :
In how many ways can the letters of the word ANGELS be arranged?
6! = 720 different ways.
Problem :
In how many ways can the letters of the word PANAMA be arranged?
= 120 different ways.
Problem :
In how many ways can the letters of the word MATHEMATICS be arranged?
= 4989600 different ways.
Problem :
A coach is forming a baseball team of 4 infielders, 3 outfielders, a pitcher,
and a catcher. Like repeating letters, the infielders are not distinct and the
outfielders are not distinct. In how many ways can he arrange his 9 players?
= 2520 different ways.