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The code is a four digit 
number formed from 1, 
2, 3, and 4 without any 
repetition.
1. If you buy two pairs of 
pants, four shirts and two 
pairs of shoes, how many 
new outfits consisting of a 
new pair of pants, one 
shirt and one pair of shoes 
would you have?
2. A die is rolled and a 
coin is tossed. Determine 
the number of different 
possible outcomes by 
using the fundamental 
counting principle and list 
all the possible outcomes 
by constructing a tree 
diagram.
3. How many three-digit 
even numbers can be 
formed with the digits 2, 
3, 4, 5 and 7 with no 
repetitions allowed?
• Organized List 
• Tree Diagram 
• Fundamental Counting 
Principle
If one thing can occur in m 
ways and a second thing can 
occur in n ways, and so on, 
then the sequence of things can 
occur in m x n x … ways.
Fundamental Counting Principle

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Fundamental Counting Principle

  • 1.
  • 2. The code is a four digit number formed from 1, 2, 3, and 4 without any repetition.
  • 3.
  • 4. 1. If you buy two pairs of pants, four shirts and two pairs of shoes, how many new outfits consisting of a new pair of pants, one shirt and one pair of shoes would you have?
  • 5. 2. A die is rolled and a coin is tossed. Determine the number of different possible outcomes by using the fundamental counting principle and list all the possible outcomes by constructing a tree diagram.
  • 6. 3. How many three-digit even numbers can be formed with the digits 2, 3, 4, 5 and 7 with no repetitions allowed?
  • 7. • Organized List • Tree Diagram • Fundamental Counting Principle
  • 8. If one thing can occur in m ways and a second thing can occur in n ways, and so on, then the sequence of things can occur in m x n x … ways.