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(b) How many strings of length 8 have distinct characters that appear in alphabetical order (e.g., "acdefxyz" but not "cadefxyz")? (c) How many strings of length 8 have exactly 2 a's and exactly 2 b's?

(b) How many strings of length 8 have distinct characters that appear in alphabetical order (e.g., "acdefxyz" but not "cadefxyz")? (c) How many strings of length 8 have exactly 2 a's and exactly 2 b's?

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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(a) How many strings of length 8 have distinct characters and do not start with "a"? (b) How many strings of length 8 have distinct characters that appear in alphabetical order (e.g., "acdefxyz" but not "cadefxyz")? (c) How many strings of length 8 have exactly 2 a's and exactly 2 b's? (d) Assume you are writing words in a page, each word is a string of length 8. How many different words must be written in that page in order to guarantee that at least 3 of them start with the same letter?
Transcribed Image Text:(a) How many strings of length 8 have distinct characters and do not start with "a"? (b) How many strings of length 8 have distinct characters that appear in alphabetical order (e.g., "acdefxyz" but not "cadefxyz")? (c) How many strings of length 8 have exactly 2 a's and exactly 2 b's? (d) Assume you are writing words in a page, each word is a string of length 8. How many different words must be written in that page in order to guarantee that at least 3 of them start with the same letter?
) (2 x) (y + 2)x Consider the alphabet of the 26 lower-case English letters {a, b, z} ...
Transcribed Image Text:) (2 x) (y + 2)x Consider the alphabet of the 26 lower-case English letters {a, b, z} ...
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