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 lim 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 repe 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 ways. (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)

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 lim 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 repe 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 ways. (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)

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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