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(a) The names can be arranged in 2.433 x 1018 (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.) ways.

(a) The names can be arranged in 2.433 x 1018 (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.) ways.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 2T: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert and a drink....
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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 name repeated 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've indicated. How many arrangements of the hames could fit this pattern? CID (a) The names can be arranged in 2.433 x 1018 (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.) ways. different arrangements. (b) There are (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)
Transcribed Image Text: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 name repeated 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've indicated. How many arrangements of the hames could fit this pattern? CID (a) The names can be arranged in 2.433 x 1018 (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.) ways. different arrangements. (b) There are (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)
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