From a box of 15 distinguishable textbooks (5 Engineering, 6 Psychology, 4 Economics), Sarah

closes her eyes and randomly arranges 4 books on a shelf. Let E denote the event that all

books on the shelf are Psychology books, F the event that no Engineering book is selected,

and G the event that at least one book from each subject is selected. Determine the number

of outcomes in the following events:

(a) E^c (E complement)

(b) F U G

(c) E^c U F^c (E complement Union F complement)