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Discrete Functions

Problems

The Factorial Function

Permutations and Combinations

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.

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