(a) How many ways are there to pick 7 objects out of a set of 25 objects? (b) How many bitstrings of length 25 have exactly 7 1s? (a) How many permutations of the letters ABCDEFGH does there exist? (b) How many permutations of the letters ABCDEFGH contain the string AB? (c) How many permutations of the letters ABCDEFGH contain the strings ABC and HG? Answer:
(a) How many ways are there to pick 7 objects out of a set of 25 objects? (b) How many bitstrings of length 25 have exactly 7 1s? (a) How many permutations of the letters ABCDEFGH does there exist? (b) How many permutations of the letters ABCDEFGH contain the string AB? (c) How many permutations of the letters ABCDEFGH contain the strings ABC and HG? Answer:
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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
Transcribed Image Text:2. (a) How many ways are there to pick 7 objects out of a set of 25 objects?
(b) How many bitstrings of length 25 have exactly 7 1s?
3. (a) How many permutations of the letters ABCDEFGH does there exist?
(b) How many permutations of the letters ABCDEFGH contain the string AB?
(c) How many permutations of the letters ABCDEFGH contain the strings ABC and HG?
Answer:
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