14. We have seen that the formula for P(n, k) is n! (n - k)!* Your task here is to explain why this is the right formula. (a) Suppose you have 12 chips, each a different color. How many different stacks of 5 chips can you make? Explain your answer and why it is the same as using the formula for P(12,5). (b) Using the scenario of the 12 chips again, what does 12! count? What does 7! count? Explain. (c) Explain why it makes sense to divide 12! by 7! when computing P(12,5) (in terms of the chips). n! (n-k)! (d) Does your explanation work for numbers other than 12 and 5? Explain the formula P(n, k) = using the variables n and k.
14. We have seen that the formula for P(n, k) is n! (n - k)!* Your task here is to explain why this is the right formula. (a) Suppose you have 12 chips, each a different color. How many different stacks of 5 chips can you make? Explain your answer and why it is the same as using the formula for P(12,5). (b) Using the scenario of the 12 chips again, what does 12! count? What does 7! count? Explain. (c) Explain why it makes sense to divide 12! by 7! when computing P(12,5) (in terms of the chips). n! (n-k)! (d) Does your explanation work for numbers other than 12 and 5? Explain the formula P(n, k) = using the variables n and k.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please answer it in really simple way that i can figure it out. I am really wick in math. ty
Transcribed Image Text:14. We have seen that the formula for P(n, k) is
n!
(n - k)!'
Your task here is
to explain why this is the right formula.
(a) Suppose you have 12 chips, each a different color. How many
different stacks of 5 chips can you make? Explain your answer
and why it is the same as using the formula for P(12,5).
(b) Using the scenario of the 12 chips again, what does 12! count?
What does 7! count? Explain.
(c) Explain why it makes sense to divide 12! by 7! when computing
P(12,5) (in terms of the chips).
(d) Does your explanation work for numbers other than 12 and 5?
Explain the formula P(n, k) = (nk)! using the variables n and k.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
