Page 6 - 3_Dinda Erliananda_Counting Principles

Dinda Erliananda Teaching Materials – SMA Class XII – Enumeration Rules

LET'S WATCH!

Let’s watch this example of multiplication and addition before we continue to our
next topic:

2. Multiplication Rule

Illustration 1:

Experiment: Draw a six-sided die and a coin together. The conclusion of the above
experiment is as follows.

 If P = {elements of the dice} = {1, 2, 3, 4, 5, 6} and = 6.

Q = {the elements of a coin} = {G, A} and = 2.
 So , meaning that there are 12 ordered pairs containing

elements P and Q.

So, if a set P contains r elements and a set Q contains s elements, then it is a set
containing rs elements, where rs is the number of consecutive pairs (a, b) with

and .

Dice
1 2 3 4 5 6
Money

G (1, G) (2, G) (3, G) (4, G) (5, G) (6, G)
A (1, A) (2, A) (3, A) (4, A) (5, A) (6, A)

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