4 Students attending a certain university can select from 100 major areas of study. A student's major is identified in the registrar's records with a two-or three-letter code (for example, statistics majors are identified by STA, math majors by MS). Some students opt for a double major and complete the requirements for both of the major areas before graduation. The registrar was asked to consider assigning these double majors a distinct two- or three-letter code so that they could be identified through the student records system. (a) What is the maximum number of possible double majors available to the university's students? double majors (b) If any two- or three-letter code is available to identify majors or double majors, how many major codes are available? codes (c) How many major codes are required to identify students who have either a single major or a double major? codes (d) Are there enough major codes available to identify all single and double majors at the university? O Yes Ο No
4 Students attending a certain university can select from 100 major areas of study. A student's major is identified in the registrar's records with a two-or three-letter code (for example, statistics majors are identified by STA, math majors by MS). Some students opt for a double major and complete the requirements for both of the major areas before graduation. The registrar was asked to consider assigning these double majors a distinct two- or three-letter code so that they could be identified through the student records system. (a) What is the maximum number of possible double majors available to the university's students? double majors (b) If any two- or three-letter code is available to identify majors or double majors, how many major codes are available? codes (c) How many major codes are required to identify students who have either a single major or a double major? codes (d) Are there enough major codes available to identify all single and double majors at the university? O Yes Ο No
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:4
Students attending a certain university can select from 100 major areas of study. A student's major is identified in the registrar's records with a two-or three-letter
code (for example, statistics majors are identified by STA, math majors by MS). Some students opt for a double major and complete the requirements for both of
the major areas before graduation. The registrar was asked to consider assigning these double majors a distinct two- or three-letter code so that they could be
identified through the student records system.
(a) What is the maximum number of possible double majors available to the university's students?
double majors
(b) If any two- or three-letter code is available to identify majors or double majors, how many major codes are available?
codes
(c) How many major codes are required to identify students who have either a single major or a double major?
codes
(d) Are there enough major codes available to identify all single and double majors at the university?
O Yes
Ο No
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