In a certain opera, the performers sing a chorus involving 20 different names, a challenge for singers trying to remember the names in the correct order.(a) In how many ways can the names be arranged?(b) Not all the arrangements of names in part (a) could be sung, because 12 of the names have 3 syllables, 4 have 2 syllables, and 4 have 4 syllables. Of the 6 lines in the chorus, 4 lines consist of a 3-syllable namerepeated once, followed by a 2-syllable and then a 4-syllable name, and 2 lines consist of a 3-syllable name repeated once, followed by 3 more 3-syllable names. No names are repeated except where we'veindicated. How many arrangements of the names could fit this pattern?(a) The names can be arranged in 2.433 x 1018 ways.(Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)(b) There are different arrangements.(Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)

*Answer: The given information is In an opera, the performers sing a chorus involving different…

Answered: (a) The names can be arranged in 2.433…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.1: Counting

Problem 92E

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