Students attending a certain university can select from 130major areas of study. A student's major is identified in theregistrar's records with a two-or three-letter code (for example,statistics majors are identified by STA, math majors by MS). Somestudents opt for a double major and complete the requirements forboth of the major areas before graduation. The registrar was askedto consider assigning these double majors a distinct two- orthree-letter code so that they could be identified through thestudent records system.
(a)
What is the maximum number of possible double majors availableto the university's students?
double majors
(b)
If any two- or three-letter code is available to identify majorsor double majors, how many major codes are available?
codes
(c)
How many major codes are required to identify students who haveeither a single major or a double major?
codes
(d)
Are there enough major codes available to identify all singleand double majors at the university?
Yes
No   Â
