BuyFindarrow_forward

Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

Solutions

Chapter
Section
BuyFindarrow_forward

Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
1 views

When choosing k elements from a set of n elements, order may or may not matter and repetition may or may not be allowed.
• The number of ways to choose the k elements when repetition is allowed and order matters is ______.
• The number of ways to choose the k elements when repetitions is not allowed and order matters is ______.
• The number of ways to choose the k elements when repetition is not allowed and order does not matter is __________.
• The number of ways to choose the k elements when repetition is allowed and order does not matter is _________.

To determine

To fill in the blanks in the statements,

  • The number of ways to choose the K elements when repetition is allowed and order matters is ______.
  • The number of ways to choose the k elements when repetition is not allowed and order matters is _____.
  • The number of ways to choose the k elements when repetition is not allowed order does not matters is _____.
  • The number of ways to choose the k elements when repetition is allowed order does not matters is _____.
Explanation

Given information:

An ordered or unordered set of k number of elements can be chosen from a set of n elements, with repetitions or without repetitions combining.

If an ordered set of k elements with repetition is chosen from a set of n elements, a simple permutation is performed and the total number of possible ways can be calculated by (nk).

Also, there is another permutation to select ordered set of k elements from n number of elements without any repeated elements as P(n,k)=n!(

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started
Sect-9.1 P-7ESSect-9.1 P-8ESSect-9.1 P-9ESSect-9.1 P-10ESSect-9.1 P-11ESSect-9.1 P-12ESSect-9.1 P-13ESSect-9.1 P-14ESSect-9.1 P-15ESSect-9.1 P-16ESSect-9.1 P-17ESSect-9.1 P-18ESSect-9.1 P-19ESSect-9.1 P-20ESSect-9.1 P-21ESSect-9.1 P-22ESSect-9.1 P-23ESSect-9.1 P-24ESSect-9.1 P-25ESSect-9.1 P-26ESSect-9.1 P-27ESSect-9.1 P-28ESSect-9.1 P-29ESSect-9.1 P-30ESSect-9.1 P-31ESSect-9.1 P-32ESSect-9.1 P-33ESSect-9.2 P-1TYSect-9.2 P-2TYSect-9.2 P-3TYSect-9.2 P-4TYSect-9.2 P-5TYSect-9.2 P-6TYSect-9.2 P-1ESSect-9.2 P-2ESSect-9.2 P-3ESSect-9.2 P-4ESSect-9.2 P-5ESSect-9.2 P-6ESSect-9.2 P-7ESSect-9.2 P-8ESSect-9.2 P-9ESSect-9.2 P-10ESSect-9.2 P-11ESSect-9.2 P-12ESSect-9.2 P-13ESSect-9.2 P-14ESSect-9.2 P-15ESSect-9.2 P-16ESSect-9.2 P-17ESSect-9.2 P-18ESSect-9.2 P-19ESSect-9.2 P-20ESSect-9.2 P-21ESSect-9.2 P-22ESSect-9.2 P-23ESSect-9.2 P-24ESSect-9.2 P-25ESSect-9.2 P-26ESSect-9.2 P-27ESSect-9.2 P-28ESSect-9.2 P-29ESSect-9.2 P-30ESSect-9.2 P-31ESSect-9.2 P-32ESSect-9.2 P-33ESSect-9.2 P-34ESSect-9.2 P-35ESSect-9.2 P-36ESSect-9.2 P-37ESSect-9.2 P-38ESSect-9.2 P-39ESSect-9.2 P-40ESSect-9.2 P-41ESSect-9.2 P-42ESSect-9.2 P-43ESSect-9.2 P-44ESSect-9.2 P-45ESSect-9.2 P-46ESSect-9.2 P-47ESSect-9.3 P-1TYSect-9.3 P-2TYSect-9.3 P-3TYSect-9.3 P-4TYSect-9.3 P-5TYSect-9.3 P-1ESSect-9.3 P-2ESSect-9.3 P-3ESSect-9.3 P-4ESSect-9.3 P-5ESSect-9.3 P-6ESSect-9.3 P-7ESSect-9.3 P-8ESSect-9.3 P-9ESSect-9.3 P-10ESSect-9.3 P-11ESSect-9.3 P-12ESSect-9.3 P-13ESSect-9.3 P-14ESSect-9.3 P-15ESSect-9.3 P-16ESSect-9.3 P-17ESSect-9.3 P-18ESSect-9.3 P-19ESSect-9.3 P-20ESSect-9.3 P-21ESSect-9.3 P-22ESSect-9.3 P-23ESSect-9.3 P-24ESSect-9.3 P-25ESSect-9.3 P-26ESSect-9.3 P-27ESSect-9.3 P-28ESSect-9.3 P-29ESSect-9.3 P-30ESSect-9.3 P-31ESSect-9.3 P-32ESSect-9.3 P-33ESSect-9.3 P-34ESSect-9.3 P-35ESSect-9.3 P-36ESSect-9.3 P-37ESSect-9.3 P-38ESSect-9.3 P-39ESSect-9.3 P-40ESSect-9.3 P-41ESSect-9.3 P-42ESSect-9.3 P-43ESSect-9.3 P-44ESSect-9.3 P-45ESSect-9.3 P-46ESSect-9.3 P-47ESSect-9.3 P-48ESSect-9.3 P-49ESSect-9.4 P-1TYSect-9.4 P-2TYSect-9.4 P-3TYSect-9.4 P-3ESSect-9.4 P-4ESSect-9.4 P-5ESSect-9.4 P-6ESSect-9.4 P-7ESSect-9.4 P-8ESSect-9.4 P-9ESSect-9.4 P-10ESSect-9.4 P-11ESSect-9.4 P-12ESSect-9.4 P-13ESSect-9.4 P-14ESSect-9.4 P-15ESSect-9.4 P-16ESSect-9.4 P-17ESSect-9.4 P-18ESSect-9.4 P-19ESSect-9.4 P-20ESSect-9.4 P-21ESSect-9.4 P-22ESSect-9.4 P-23ESSect-9.4 P-24ESSect-9.4 P-25ESSect-9.4 P-26ESSect-9.4 P-27ESSect-9.4 P-28ESSect-9.4 P-29ESSect-9.4 P-30ESSect-9.4 P-31ESSect-9.4 P-32ESSect-9.4 P-33ESSect-9.4 P-34ESSect-9.4 P-35ESSect-9.4 P-36ESSect-9.4 P-37ESSect-9.4 P-38ESSect-9.4 P-39ESSect-9.4 P-40ESSect-9.5 P-1TYSect-9.5 P-2TYSect-9.5 P-3TYSect-9.5 P-4TYSect-9.5 P-5TYSect-9.5 P-1ESSect-9.5 P-2ESSect-9.5 P-3ESSect-9.5 P-4ESSect-9.5 P-5ESSect-9.5 P-6ESSect-9.5 P-7ESSect-9.5 P-8ESSect-9.5 P-9ESSect-9.5 P-10ESSect-9.5 P-11ESSect-9.5 P-12ESSect-9.5 P-13ESSect-9.5 P-14ESSect-9.5 P-15ESSect-9.5 P-16ESSect-9.5 P-17ESSect-9.5 P-18ESSect-9.5 P-19ESSect-9.5 P-20ESSect-9.5 P-21ESSect-9.5 P-22ESSect-9.5 P-23ESSect-9.5 P-24ESSect-9.5 P-25ESSect-9.5 P-26ESSect-9.5 P-27ESSect-9.5 P-28ESSect-9.5 P-29ESSect-9.5 P-30ESSect-9.6 P-1TYSect-9.6 P-2TYSect-9.6 P-3TYSect-9.6 P-1ESSect-9.6 P-2ESSect-9.6 P-3ESSect-9.6 P-4ESSect-9.6 P-5ESSect-9.6 P-6ESSect-9.6 P-7ESSect-9.6 P-8ESSect-9.6 P-9ESSect-9.6 P-10ESSect-9.6 P-11ESSect-9.6 P-12ESSect-9.6 P-13ESSect-9.6 P-14ESSect-9.6 P-15ESSect-9.6 P-16ESSect-9.6 P-17ESSect-9.6 P-18ESSect-9.6 P-19ESSect-9.6 P-20ESSect-9.6 P-21ESSect-9.7 P-1TYSect-9.7 P-2TYSect-9.7 P-3TYSect-9.7 P-4TYSect-9.7 P-5TYSect-9.7 P-6TYSect-9.7 P-7TYSect-9.7 P-1ESSect-9.7 P-2ESSect-9.7 P-3ESSect-9.7 P-4ESSect-9.7 P-5ESSect-9.7 P-6ESSect-9.7 P-7ESSect-9.7 P-8ESSect-9.7 P-9ESSect-9.7 P-10ESSect-9.7 P-11ESSect-9.7 P-12ESSect-9.7 P-13ESSect-9.7 P-14ESSect-9.7 P-15ESSect-9.7 P-16ESSect-9.7 P-17ESSect-9.7 P-18ESSect-9.7 P-19ESSect-9.7 P-20ESSect-9.7 P-21ESSect-9.7 P-22ESSect-9.7 P-23ESSect-9.7 P-24ESSect-9.7 P-25ESSect-9.7 P-26ESSect-9.7 P-27ESSect-9.7 P-28ESSect-9.7 P-29ESSect-9.7 P-30ESSect-9.7 P-31ESSect-9.7 P-32ESSect-9.7 P-33ESSect-9.7 P-34ESSect-9.7 P-35ESSect-9.7 P-36ESSect-9.7 P-37ESSect-9.7 P-38ESSect-9.7 P-39ESSect-9.7 P-40ESSect-9.7 P-41ESSect-9.7 P-42ESSect-9.7 P-43ESSect-9.7 P-44ESSect-9.7 P-45ESSect-9.7 P-46ESSect-9.7 P-47ESSect-9.7 P-48ESSect-9.7 P-49ESSect-9.7 P-50ESSect-9.7 P-51ESSect-9.7 P-52ESSect-9.7 P-53ESSect-9.7 P-54ESSect-9.7 P-55ESSect-9.8 P-1TYSect-9.8 P-2TYSect-9.8 P-3TYSect-9.8 P-4TYSect-9.8 P-5TYSect-9.8 P-1ESSect-9.8 P-2ESSect-9.8 P-3ESSect-9.8 P-4ESSect-9.8 P-5ESSect-9.8 P-6ESSect-9.8 P-7ESSect-9.8 P-8ESSect-9.8 P-9ESSect-9.8 P-10ESSect-9.8 P-11ESSect-9.8 P-12ESSect-9.8 P-13ESSect-9.8 P-14ESSect-9.8 P-15ESSect-9.8 P-16ESSect-9.8 P-17ESSect-9.8 P-18ESSect-9.8 P-19ESSect-9.8 P-20ESSect-9.8 P-21ESSect-9.8 P-22ESSect-9.8 P-23ESSect-9.9 P-1TYSect-9.9 P-2TYSect-9.9 P-3TYSect-9.9 P-4TYSect-9.9 P-1ESSect-9.9 P-2ESSect-9.9 P-3ESSect-9.9 P-4ESSect-9.9 P-5ESSect-9.9 P-6ESSect-9.9 P-7ESSect-9.9 P-8ESSect-9.9 P-9ESSect-9.9 P-10ESSect-9.9 P-11ESSect-9.9 P-12ESSect-9.9 P-13ESSect-9.9 P-14ESSect-9.9 P-15ESSect-9.9 P-16ESSect-9.9 P-17ESSect-9.9 P-18ESSect-9.9 P-19ESSect-9.9 P-20ESSect-9.9 P-21ESSect-9.9 P-22ESSect-9.9 P-23ESSect-9.9 P-24ESSect-9.9 P-25ESSect-9.9 P-26ESSect-9.9 P-27ESSect-9.9 P-28ESSect-9.9 P-29ESSect-9.9 P-30ESSect-9.9 P-31ESSect-9.9 P-32ESSect-9.9 P-33ESSect-9.9 P-34ES