Principles of Counting - Additive and Multiplicative Principles

1. There are 4 digits in a PIN CODE. How many options do you have for EACH DIGIT if a number can be repeated?

• 9

• 10

• 10,000

• None of the above

A pin code is a 4-digit password. How many different PIN number codes are possible IF NUMBERS CAN BE REPEATED?

• 9

• 10

• 10,000

• 100,000

A ZIP code is a 5-digit number. How many different ZIP codes are possible IF NUMBERS CAN BE REPEATED, and WITH NO ZERO at the beginning?

• 10,000

• 90,000

• 100,000

• 9

A restaurant offers four sizes of pizza, two types of crust, and eight toppings. If Nela decided which toppings to put, how many options does she have?

• 2

• 4

• 8

• 14

A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there?

• 14

• 24

• 36

• 64

Rob has 4 shirts, 3 pairs of pants, and 2 pairs of shoes that all coordinate. If Rob wants to dress up with a shirt, a pair of pants, and a pair of slippers, How many options does he have?

• 7

• 12

• 24

• None of the above

Grace loves to eat salad! How many salads can she put together if she can pick out one type of lettuce from 2 choices, one vegetable from 4 choices, and one dressing from 7 choices?

• 3

• 8

• 2

• 56

If you roll a dice ONCE, how many possible outcomes do you have?

• 0

• 1

• 6

• None of the choices

If you roll a dice thrice, how many possible outcomes can you have with an odd number on the first roll, even on the second, and a number less than 5 on the third one?

• 10

• 100

• 36

• 45

In a standard deck of cards, how many choices do you have in getting a NON-face card?

• 12

• 30

• 40

• 52