i) If you have twenty ones and fifteen zeroes how many ways can we arrange these digits such that no two zeroes are adjacent? ii) Show that the number of subsets of a finite set S is 2 |S| i) [The Birthday Problem] What is the probability that at least one of ten people are born on the same day of the year? [Note: as the number of people increase a surprising result occurs] ** [Hint: What is the probability ALL have different birthdays?] iv) You have Eight Boys and Seven Girls. How many ways can you arrange three boys and two girls for a picture? ** (Hint: consider first the arrangement positions 1, 2,3 are boys and 4,5 are girls ** how many ways cant this be done Next: How many ways can we CHOOSE three positions out of 1,2,3,4,5 to put boys and the rest to put girls?]
i) If you have twenty ones and fifteen zeroes how many ways can we arrange these digits such that no two zeroes are adjacent? ii) Show that the number of subsets of a finite set S is 2 |S| i) [The Birthday Problem] What is the probability that at least one of ten people are born on the same day of the year? [Note: as the number of people increase a surprising result occurs] ** [Hint: What is the probability ALL have different birthdays?] iv) You have Eight Boys and Seven Girls. How many ways can you arrange three boys and two girls for a picture? ** (Hint: consider first the arrangement positions 1, 2,3 are boys and 4,5 are girls ** how many ways cant this be done Next: How many ways can we CHOOSE three positions out of 1,2,3,4,5 to put boys and the rest to put girls?]
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![i) If you have twenty ones and fifteen zeroes how many ways can we arrange these digits such that
no two zeroes are adjacent?
ii) Show that the number of subsets of a finite set S is 2 |S|
i) [The Birthday Problem] What is the probability that at least one of ten people are born on the
same day of the year? [Note: as the number of people increase a surprising result occurs] ** [Hint:
What is the probability ALL have different birthdays?]
iv) You have Eight Boys and Seven Girls. How many ways can you arrange three boys and two girls
for a picture?
** [Hint: consider first the arrangement positions 1, 2,3 are boys and 4 ,5 are girls ** how many
ways cant this be done
Next: How many ways can we CHOOSE three positions out of 1,2,3,4,5 to put boys and the rest to
put girls?]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa196ac51-cf85-4b0b-8c05-9749f92f34f8%2F7248f452-1497-4309-9ab2-4d931dc1a684%2Fbkc43tq_processed.png&w=3840&q=75)
Transcribed Image Text:i) If you have twenty ones and fifteen zeroes how many ways can we arrange these digits such that
no two zeroes are adjacent?
ii) Show that the number of subsets of a finite set S is 2 |S|
i) [The Birthday Problem] What is the probability that at least one of ten people are born on the
same day of the year? [Note: as the number of people increase a surprising result occurs] ** [Hint:
What is the probability ALL have different birthdays?]
iv) You have Eight Boys and Seven Girls. How many ways can you arrange three boys and two girls
for a picture?
** [Hint: consider first the arrangement positions 1, 2,3 are boys and 4 ,5 are girls ** how many
ways cant this be done
Next: How many ways can we CHOOSE three positions out of 1,2,3,4,5 to put boys and the rest to
put girls?]
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