There is no need to compute the values of these expressions. • You can always verify your answers on "smaller problems". • Remember that either or means either or or both. • You may approach the problems by "appropriately building an object of interest" in multiple steps. Use "principle of inclusion and exclusion" where needed. In this problem we are interested in strings of length 10 where

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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Please show all work & explain your answer. Follow the Directions Stated.

• You must explain your answers. If you simply write down some ex-
pression as answer, then you will receive no credit for that problem.
• If the answer is something like 154 × 206, you may leave it as it is.
There is no need to compute the values of these expressions.
• You can always verify your answers on "smaller problems".
. Remember that either or means either or or both.
• You may approach the problems by "appropriately building an object
of interest" in multiple steps. Use "principle of inclusion and exclusion"
where needed.
(1)
In this problem, we are interested in strings of length 10 where
each symbol is 1, 2, or 3. For example 2213231321 is one such string.
(a) How many such strings are there?
(b) In how many such strings there is exactly one 1 ?
(c) In how many such strings there is exactly one 1 and there is exactly one
2?
Transcribed Image Text:• You must explain your answers. If you simply write down some ex- pression as answer, then you will receive no credit for that problem. • If the answer is something like 154 × 206, you may leave it as it is. There is no need to compute the values of these expressions. • You can always verify your answers on "smaller problems". . Remember that either or means either or or both. • You may approach the problems by "appropriately building an object of interest" in multiple steps. Use "principle of inclusion and exclusion" where needed. (1) In this problem, we are interested in strings of length 10 where each symbol is 1, 2, or 3. For example 2213231321 is one such string. (a) How many such strings are there? (b) In how many such strings there is exactly one 1 ? (c) In how many such strings there is exactly one 1 and there is exactly one 2?
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