Counting Principle Easy

In a word-building game each player picks 7 letter tiles. If Julio's letters are all different, how many 3-letter combinations can he make out of his 7 letters?

• 7 x 6 x 5 = 210

• 7 x 7 x 7 = 343

• 3 x 3 x 3 = 27

• 3 x 2 x 1 = 6

The editor has accepted six articles for the newsletter. In how many ways can the six articles be ordered?

• 6 x 5 x 4 x 3 x 2 x 1 = 720

• 6 x 6 x 6 x 6 x 6 x 6 = 46656

• 6 x 6 = 36

There are ten one-hour workshops scheduled for the open house at the greenhouse. There is only one conference room available. In how many ways can the workshops be ordered?

• 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800

• 10 x 1 = 10

• 10¹⁰ = 10000000000

An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream.  A customer gets to choose a cone and a type of ice cream.  How many different 1-scoop ice cream cones can a customer order? 

• 34

• 2

• 3

• 93

If you roll two dice, how many possible outcomes?

• 360

• 1

• 36

• 12

Harpo, Groucho, Chico, Zeppo, Gummo and Karl are running in a race. How many different orders of finish are possible?

• 36

• 64

• 720

• 46656

An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream.  A customer gets to choose a cone and a type of ice cream.   How many events are described here?

• 1

• 2

• 3

• 93

Find the total number of outcomes when choosing between vanilla, strawberry, chocolate or mint chocolate chip ice cream with fudge, butterscotch, strawberry or whipped topping, in a cone or a cup.

• 16

• 8

• 32

• 3

How many total outfit options are represented?

• 12

• 22

• 3

The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the complete set of possible combinations?

• TW, CW, PW

• TW, TM, TC, CW, PW

• TW, TM, CW, CM, PW, PM

• TCP, MW