Always remember to have the definitions, axioms, lemmas, theorems, and corollaries necessary to solve the exercises you want to solve at hand (or memorized). Without that, you won’t be able to solve the exercises. Relevant definitions for this exercise: THE PRODUCT RULE: “Suppose that a procedure can be broken down into a sequence of two […]
How many bit strings are there of length eight? Read More »
Relevant definitions for this exercise: THE PRODUCT RULE: “Suppose that a procedure can be broken down into a sequence of two tasks. If there are n1 ways to do the first task and for each of these ways of doing the first task, there are n2 ways to do the second task, then there are
Relevant definitions for this exercise: THE PRODUCT RULE: “Suppose that a procedure can be broken down into a sequence of two tasks. If there are n1 ways to do the first task and for each of these ways of doing the first task, there are n2 ways to do the second task, then there are
Relevant definitions for this exercise: THE PRODUCT RULE: “Suppose that a procedure can be broken down into a sequence of two tasks. If there are n1 ways to do the first task and for each of these ways of doing the first task, there are n2 ways to do the second task, then there are
Relevant definitions for this exercise: THE PRODUCT RULE: “Suppose that a procedure can be broken down into a sequence of two tasks. If there are n1 ways to do the first task and for each of these ways of doing the first task, there are n2 ways to do the second task, then there are
How many different three-letter initials are there that begin with an A? Read More »
Relevant definitions for this exercise: THE PRODUCT RULE: “Suppose that a procedure can be broken down into a sequence of two tasks. If there are n1 ways to do the first task and for each of these ways of doing the first task, there are n2 ways to do the second task, then there are
Let’s first write relevant definitions for this exercise: THE PRODUCT RULE: “Suppose that a procedure can be broken down into a sequence of two tasks. If there are n1 ways to do the first task and for each of these ways of doing the first task, there are n2 ways to do the second task,
As always, we should start with knowing the rules and/or definitions. THE PRODUCT RULE: “Suppose that a procedure can be broken down into a sequence of two tasks. If there are n1 ways to do the first task and for each of these ways of doing the first task, there are n2 ways to do
How many bit strings of length n, where n is a positive integer, start and end with 1s? Read More »
Let’s review the sum rule. THE SUM RULE: “If a task can be done either in one of n1 ways or in one of n2 ways, where none of the set of n1 ways is the same as any of the set of n2 ways, then there are n1 +n2 ways to do the task.”
Below are the rules that we can use for this type of exercise. THE PRODUCT RULE: Suppose that a procedure can be broken down into a sequence of two tasks. If there are n1 ways to do the first task and for each of these ways of doing the first task, there are n2 ways
How many bit strings of length ten both begin and end with a 1? Read More »
