Is the sentence true or false?

Fundamental counting principle can be used in case when the objects can be repeated.

 Is the sentence true or false?

if an event A can occur in x different ways and another event B can occur in y different ways, then there are x × y ways of occurrence of both the events simultaneously.

Is the sentence true or false?

Permutations can be used in case when the objects can be repeated.

Suppose you have 2 pairs of shoes and 3 pairs of socks. In how many ways can you wear them?

 Is the sentence true or false?

The fundamental principle of counting can be used to predict the number of ways of occurrence of any number of finite events.

Derek must choose a four-digit PIN number. Each digit can be chosen from 0 to 9.

How many different possible PIN numbers can Derek choose?

Complete:

if there are 4 events which can occur in p, q, r and s ways, then there are __________ways in which these events can occur simultaneously.

For her literature course, Rachel has to choose one novel to study from a list of four, one poem from a list of six and one short story from a list of five.

How many different choices does Rachel have?

Sarah goes to her local pizza parlor and orders a pizza. She can choose either a large or a medium pizza, can choose one of seven different toppings, and can have three different choices of crust.

How many different pizzas could Sarah order?

Is the sentence true or false?

When there are m ways to do one thing, and n ways to do another,

then there are m+n ways of doing both.