It is suspected that out of a set of 64 50p coins one of the coins is fake (i.e., lighter in weight than a genuine coin). With one weighing scale. (i)Give a detailed explanation on how you would go about determining the fake coin. (ii)What is the minimum number of times you need to use the scales to weigh the coins before identifying the fake coin?    (iii)Write a recursive method that returns the value of N! (N factorial). Explain why you would not normally use recursion to solve this problem.

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
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  1. It is suspected that out of a set of 64 50p coins one of the coins is fake (i.e., lighter in weight than a genuine coin). With one weighing scale. (i)Give a detailed explanation on how you would go about determining the fake coin. (ii)What is the minimum number of times you need to use the scales to weigh the coins before identifying the fake coin?    (iii)Write a recursive method that returns the value of N! (N factorial). Explain why you would not normally use recursion to solve this problem.
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