One method for finding a given number that is in an ordered list of numbers requires a computer to repeatedly split the list in half until the number is found. For a list of n numbers, the maximum number of splits is the least integer greater than or logn equal to log 2 What is the maximum number of splits needed to find a given number in a list of 300,000 numbers? (A) 3 (B) 6 (C) 15 (D) 18 (E) 19

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element...
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31. One method for finding a given number that is in
an ordered list of numbers requires a computer to
repeatedly split the list in half until the number is
found. For a list of n numbers, the maximum
number of splits is the least integer greater than or
logn
equal to
log 2*
What is the maximum number of
splits needed to find a given number in a list of :
300,000 numbers?
(A) 3
(В) 6
(C) 15
(D) 18
(E) 19
Transcribed Image Text:31. One method for finding a given number that is in an ordered list of numbers requires a computer to repeatedly split the list in half until the number is found. For a list of n numbers, the maximum number of splits is the least integer greater than or logn equal to log 2* What is the maximum number of splits needed to find a given number in a list of : 300,000 numbers? (A) 3 (В) 6 (C) 15 (D) 18 (E) 19
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