10.1. Product Rule

Try these first

1. 1.

   How many distinct outfits can you create with 2 shirts and 3 pairs of pants?

   Hint

   Multiply the number of shirts by the number of pants.

2. 2.

   If there are 4 fruits and 2 toppings, how many different fruit salads can you create?

   Hint

   Use the Product Rule for independent choices.

3. 3.

   How many ways can you assign 3 unique tasks to 2 employees if each task must be done by a different employee?

   • 6
   • 3
   • 12
   • 2

   Hint

   Think about the choices per task.

4. 4.

   True or False: The Product Rule applies only when tasks are dependent on each other.

   • True
   • False

   Hint

   Recall the definition of independent tasks.

5. 5.

   A company has 4 distinct products to distribute and can choose 2 different stores to sell them. How many ways can these products be assigned to the stores?

   Hint

   Use the Product Rule for independent choices.

6. 6.

   You are tasked with forming a committee of 3 members from a group of 6 people. Then you also need to select a leader from those 3. How many distinct committees can be formed?

   Hint

   Break down the steps into tasks for the committee, then apply the Product Rule.