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45. How many ways are arrange the letters in UNIVERSALLY so that no two vowels and also the consonants appear in alphabetical order? occur consecutively 16

45. How many ways are arrange the letters in UNIVERSALLY so that no two vowels and also the consonants appear in alphabetical order? occur consecutively 16

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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5.4 Distributions 225 45. How many ways are arrange the letters in UNIVERSALLY so that no tWO VOwels occur consecutively and also the consonants appear in alphabetical order? 40. How many 8-letter arrangements can be formed from the 26 letters of the alphabet (without repetition) that include at most three of the five vowels and in which the vowels are nonconsecutive? 47. How many arrangements of letters in INSTITUTIONAL have all of the following propertics simultaneously? (a) No consecutive Ts (b) The 2 Ńs are consecutive (c) Vowels in alphabetical order 48. How many arrangements of the letters in INSTRUCTOR have all of the following properties simultaneously? (a) The vowels appeariing in alphabetical order (b) At least 2 consonants between each vowel (c) Begin or end with the 2 Ts (the Ts are consecutive) 49. How many arrangements of the letters in STATISTICS have all of the following properties simultaneously? (a) No consecutive Ss (b) Vowels in alphabetical order (c) The 3 Ts are consecutive (appear as 3 Ts in a row)
Transcribed Image Text:5.4 Distributions 225 45. How many ways are arrange the letters in UNIVERSALLY so that no tWO VOwels occur consecutively and also the consonants appear in alphabetical order? 40. How many 8-letter arrangements can be formed from the 26 letters of the alphabet (without repetition) that include at most three of the five vowels and in which the vowels are nonconsecutive? 47. How many arrangements of letters in INSTITUTIONAL have all of the following propertics simultaneously? (a) No consecutive Ts (b) The 2 Ńs are consecutive (c) Vowels in alphabetical order 48. How many arrangements of the letters in INSTRUCTOR have all of the following properties simultaneously? (a) The vowels appeariing in alphabetical order (b) At least 2 consonants between each vowel (c) Begin or end with the 2 Ts (the Ts are consecutive) 49. How many arrangements of the letters in STATISTICS have all of the following properties simultaneously? (a) No consecutive Ss (b) Vowels in alphabetical order (c) The 3 Ts are consecutive (appear as 3 Ts in a row)
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