On my bookshelf I have 5 books of poetry, 15 graphic novels, 8 biographies and 3 self-help books. I plan to take 7 books with me on my vacation. i)In how many different ways can I take 7 books with me on my vacation? ii)In how many different ways can my 7 books consist of 2 books of poetry, 3 graphic novels and 2 self-help books? iii) In how many different ways can my 7 books consist of exactly 3 graphic novels? iv)In how many different ways can my 7 books consist of at least 6 biographies? v) In how many different ways can my 7 books consist only of poetry books?

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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On my bookshelf I have 5 books of poetry, 15 graphic novels, 8 biographies and 3 self-help books. I plan to take 7 books with me on my vacation.

i)In how many different ways can I take 7 books with me on my vacation?

ii)In how many different ways can my 7 books consist of 2 books of poetry, 3 graphic novels and 2 self-help books?

iii) In how many different ways can my 7 books consist of exactly 3 graphic novels?

iv)In how many different ways can my 7 books consist of at least 6 biographies?

v) In how many different ways can my 7 books consist only of poetry books?

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