Counting Rules practice worksheet #2

How many 5-digit passcodes are possible if digits can be repeated and the first and last numbers must be odd?

Jaquetta is choosing her classes for her first semester at college. She will choose one of the 3 available science courses, one of the 2 options for math, one of the 6 possible computer courses, and one of the 4 available English courses. How many ways can she select her classes?

Blake has 4 outdoor chores and 3 indoor chores to do this weekend. It is going to rain so he has to do the outside ones first. How many ways can he complete his chores?

Warren is packing up a care package to send to his cousin. He has 7 items to include and they can be packed in any order. How many ways can he pack all the items?

Ms. Huey is giving a pop quiz with 5 multiple choice questions. Each question has 4 answer choices and only one correct answer. If you are guessing on each question, how many possible ways can you complete the quiz?

A garden shop is arranging potted flowers for a display. If they have 10 different flowers and are going to display all of them, how many ways can they arrange the flowers?

Answer explanation

10!

How many ways can Ms. Huey pick 4 of the 12 available candy options for the class Bribery Bucket?

Answer explanation

12 C 4

How many ways can a president, vice-president, rep-at-large, and social coordinator be selected from a class of 27?

Answer explanation

272 P 4

An art gallery is arranging 8 paintings, 6 sculptures, and 3 charcoal sketches for a show. How many ways can the pieces be arranged?

Answer explanation

17! / (8! x 6! x 3!)

There are 9 rides, 6 games, and 4 food vendors you are going to at the fair. In how many ways can you visit each attraction?

Answer explanation

19! / (9! x 6! x 4!)