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The factorial of a number is the product of all of the whole numbers from the number down to one.
6! = 6x5x4x3x2x1 = 720
Evaluate 5!
Evaluate 8!/4!
Evaluate 9!/6!
A permutation is an arrangement of things in a certain order
There are 15 students in a classroom.
The back row of the room has 7 seats.
How many different ways are there to
arrange students in the back row?
There are 12 students in a science fair. The top 5
get prizes. How many ways are there to pick the top 5?
A combination is an arrangement of things in which order does not matter
A city council is made up of 10 members. A commitee is to be formed of 4 members of the council. How many ways are there to pick the commitee?
There are 12 players on a basketball team. The starting line-up is made of 5 players. How many ways are there to choose the starting line-up?
The number of permutations of n things, taken
r at a time is:
____
n!
P =
n r
(n-r)!
The number of combinations of n things taken r at a time is:
10-9
n!
______
C =
n r
r!(n-r)!
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