Permutations, Combinations, Counting Principle

How many mixtures of two colors can an artist make from nine different colors of paint?

• 18
• 72
• 36
• 11

Johnny Jim's offers sub sandwiches with either salami, ham or turkey along with a choice of green peppers or pickle slices.  They also offer Provolone or American cheese.  If I choose one item from each category, how many subs are possible?

• 12
• 18
• 7
• 24

In how many different ways can a coach name the first three batters in a nine-batter baseball lineup?

• 168
• 504
• 27
• 84

There are six roads connecting Midland to Bay City.  There are five roads connecting Bay City to Port Huron.  If you travel from Midland to Port Huron, through Bay City, how many possible routes are there?

• 720
• 6
• 30
• 11

DJ Jazzy Jeff, who is very particular about his music choices, wants to play 10 more songs but only has time for four.  In how many different ways can he arrange to play those songs?

• 40
• 5,040
• 210
• 1,260

Jessica wants to purchase the latest CD's from Twenty-One Pilots, Catfish & the Bottlemen, Weezer, Panic! at the Disco, Hozier and Young the Giant. However, she only has enough money for four CD's. In how many ways can she purchase four CD's?

• 24

• 360

• 90

• 15