Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

What is the value of the expression? P58 20 56 120 6720

Sagot :

akposevictor

Given the permutation expression,  [tex]^8P_5[/tex], the value of the expression is: 6,720.

Recall:

  • In Permutation, order matters and the following general rule is given: [tex]^nP_r = \frac{n!}{(n - r)!}[/tex]

Given the expression: [tex]^8P_5[/tex], the following shows how to evaluate the expression by applying the general case formula for Permutation.

Thus:

Where,

8 = 5

r = 5

  • Plug in the values

[tex]^8P_5 = \frac{8!}{(8 - 5)!}\\\\^8P_5 = \frac{8!}{3!}\\\\^8P_5 = \frac{8 \times 7 \times 6 \times 5 \times 4 \times 3!}{3!} \\\\^8P_5 = 8 \times 7 \times 6 \times 5 \times 4\\\\\mathbf{^8P_5 = 6,720}[/tex]

Therefore, given the permutation expression,  [tex]^8P_5[/tex], the value of the expression is: 6,720.

Learn more about permutation on:

https://brainly.com/question/12468032

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.