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

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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Concept explainers

Hiring problem

The term "hire" means "to employ" or "to obtain services for a fee." When you hire someone, you are employing or paying them to perform a certain task for you. A step-by-step method for hiring a new employee is an efficient and successful hiring process in which a business determines its talent needs, recruits from its talent pool, and hires the best-qualified individuals. The hiring problem is a well-known decision-making problem in the analysis of algorithms. The problem is solved by designing an efficient algorithm to choose the best candidate from a list of n candidates.

Question

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?

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