In a čêrtaln opera, the penon orus involving 24 different hames, a challenge for singers trying to remember tne hames in the correct ord (a) In how many ways can the names be arranged? (b) Not all the arrangements of names in part (a) could be sung, because 16 of the names have 3 syllables, 4 have 2 syllables, and 4 have 4 syllable: 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-syllab repeated once, followed by 5 more 3-syllable names. No names are repeated except where we've indicated. How many arrangements of the names c pattern? (a) The names can be arranged in 6.204 x 1023 (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.) ways. (b) There are (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.) different arrangements.
In a čêrtaln opera, the penon orus involving 24 different hames, a challenge for singers trying to remember tne hames in the correct ord (a) In how many ways can the names be arranged? (b) Not all the arrangements of names in part (a) could be sung, because 16 of the names have 3 syllables, 4 have 2 syllables, and 4 have 4 syllable: 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-syllab repeated once, followed by 5 more 3-syllable names. No names are repeated except where we've indicated. How many arrangements of the names c pattern? (a) The names can be arranged in 6.204 x 1023 (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.) ways. (b) There are (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.) different arrangements.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:In a certain opera, the performers sing a chorus involving 24 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 16 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 5 more 3-syllable names. No names are repeated except where we've indicated. How many arrangements of the names could fit this
pattern?
(a) The names can be arranged in 6.204 x 1023
(Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)
ways.
(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.)
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