Factorials and Circular Permutations

_____________ is an arrangement of objects in a definite order.

• Permutation

• Combination

The number "n!" is read as _____________.

• n - exclamation point

• n - nothing

• n - factorial

• n - permutation

What is the value of 5!

• 25
• 15
• 120
• 720

What do we call a permutation is the number of ordered arrangement that can be made of n objects in a circle.

(a)  

Circular permutation is given with the formula;
_________________________

• P = (n – 1) !

• P = n!

• P = (n – r) !

In how many ways can a 2 people be seated in a circular table?

• 0

• 1

• 2

• 4

In how many different ways can a family of 4 sit around a table if they may sit in any way?

(a)  

In how many ways can 7 people be seated in a circular table for a dinner?

(a)  

In how many different ways can five people be seated at a circular table?

• 4

• 16

• 24

• 32

In how many different ways can 8 children seated on a merry-go-round?

• 720

• 5,040

• 40,320

• 362,880