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 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 4 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 ways

Given Information: The performers sing a chorus involving 22 different names. And they have to…

Answered: In a certain opera, the performers sing…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A choreographer is working with 15 dancers for a new Broadway musical. For one routine, the choreographer needs one dancer for the role of Wizard, three dancers to be Evil Trolls (there is no difference between the Trolls), and two people to dance as Magical Unicorns (there is no difference between the Unicorns.) No one can dance more than one role in this routine. How many ways can the choreographer cast the roles?
A survey of 1900 commuters in New York City showed that 1180 take the subway, 650 take the bus, and 170 do not take either the bus or the subway. (a) How many commuters take both the bus and the subway?(b) How many commuters take only the subway?
The president of the college asked a fraternity to submit a list of 7 students to serve as guides at a school function. They have 19 students who are Available to help. In how many ways can the students be chosen?
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A merchant surveyed 540 people to determine the way they learned about an upcoming sale. The survey showed that 210 learned about the sale from the radio, 250 from television, 200 from the newspaper, 100 from radio and television, 50 from radio and newspapers, 90 from television and newspapers, and 30 from all three sources. How many people learned of the sale from newspapers or radio, but not both?
Suppose we want to choose 3 colors, without replacement, from the 4 colors red, blue, green, and purple. How many ways can this be done, if the order of the choices does not matter? How many ways can this be done, if the order of the choices does matter?
Of the 58 students in a mathematics class, 22 are taking French, 24 are taking German, and 7 are taking both French and German. How many students in the mathematics class are taking neither French nor German? nothing students
It’s the first day of summer camp, and the counselors are trying to figure out where one of the campers will sleep. There are four beds available in Cabin #1, five in Cabin #2, and just one in Cabin #3. How many ways in all are there to assign the camper to a bed?
In how many ways can Mrs. Smith give a chocolate bar, a bag of potato chips, and a can of cane juice to 3 of the 21 students in her class, one item per student?
A basket contains 2 pink, 3 yellow, 8 red, and 1 black jelly beans. You grab a handful of 4 jelly beans. (a) How many groups of 4 jelly beans include exactly 1 of each color? (b) How many groups of 4 jelly beans include at most 1 yellow?
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