Let S = {c,i,p, h, e,r, s}. Let A be the set of permutations of S in which i and e appear consecutively (in the order ie). Let B be the set of permutations of S in which h and i appear consecutively. Let C be the set of permutations of Sin which p and h appear consecutively. • In order to find [A], how many permutations of S are there in which i and e appear consecutively, we define a new set P and find the permutations of it. What is P and what is [P? What is |A|? • In order to find |An B, permutations of S in which i and e and h and i appear consecutively, we define a new set Q and find the permutations of Q. What is Q and Q? What is An B? • What is AU B|?
Let S = {c,i,p, h, e,r, s}. Let A be the set of permutations of S in which i and e appear consecutively (in the order ie). Let B be the set of permutations of S in which h and i appear consecutively. Let C be the set of permutations of Sin which p and h appear consecutively. • In order to find [A], how many permutations of S are there in which i and e appear consecutively, we define a new set P and find the permutations of it. What is P and what is [P? What is |A|? • In order to find |An B, permutations of S in which i and e and h and i appear consecutively, we define a new set Q and find the permutations of Q. What is Q and Q? What is An B? • What is AU B|?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let S = {c, i, p, h, e, r, s}. Let A be the set of permutations of S in which i and
e appear consecutively (in the order ie). Let B be the set of permutations of S
in which h and i appear consecutively. Let C be the set of permutations of S in
which p and h appear consecutively.
• In order to find [A], how many permutations of S are there in which i and
e appear consecutively, we define a new set P and find the permutations of
it. What is P and what is |P|? What is |4|?
• In order to find |An B, permutations of S in which i and e and h and i
appear consecutively, we define a new set Q and find the permutations of Q.
What is Q and Q? What is An B?
• What is [AU B|?
• In how many permutations of S do either i and e, h and i, or p and h appear
consecutively?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6195f099-697f-489e-94ae-c77f1a063c08%2Fd18338d4-dadc-4f5d-b2ae-a1dd162ce9e8%2Fi0gip8g_processed.png&w=3840&q=75)
Transcribed Image Text:Let S = {c, i, p, h, e, r, s}. Let A be the set of permutations of S in which i and
e appear consecutively (in the order ie). Let B be the set of permutations of S
in which h and i appear consecutively. Let C be the set of permutations of S in
which p and h appear consecutively.
• In order to find [A], how many permutations of S are there in which i and
e appear consecutively, we define a new set P and find the permutations of
it. What is P and what is |P|? What is |4|?
• In order to find |An B, permutations of S in which i and e and h and i
appear consecutively, we define a new set Q and find the permutations of Q.
What is Q and Q? What is An B?
• What is [AU B|?
• In how many permutations of S do either i and e, h and i, or p and h appear
consecutively?
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