In a certain opera, the performers sing a chorus involving 22 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 14 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

MATLAB: An Introduction with Applications
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In a certain opera, the performers sing a chorus involving 22 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 14 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 4 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
Transcribed Image Text:In a certain opera, the performers sing a chorus involving 22 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 14 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 4 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
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