Page 145 - TB_6B

Activity 3 Permutations

A selection of different items in which the order of the items is important is
called a permutation.
Find the number of possible ways to pick a class president and a vice
president among Thomas(T), Ricky(R), Ann(A), and Kate(K).

Class president Vice president Class president Vice president
Ann Thomas
Thomas Ann

Draw a tree diagram. Fill in the blanks.

Class Vice Outcomes Class Vice Outcomes
President President President President

R T, R T R, T

T A T, A RA
K T, K K

Class Vice Outcomes Class Vice Outcomes
President President President President

T

A K

How many ways can you pick a class president and a vice president?

Use the Fundamental Counting Principal.

There are 4 possible class presidents. Once a student has been chosen, there

will be 3 possible vice presidents. The number of possible ways to pick a class

president and a vice president is:

Class Vice
President President

4 3 = 12 (ways)

134