There are 29 students in the woodwind section of the school orchestra. 11 students can play the flute, 15 can play the clarinet, and 12 can play the saxophone. 4 can play the flute and the saxophone, 4 can play the flute and the clarinet, and 6 can play the clarinet and the saxophone. 3 students can play none of the three instruments.
(1) Display the information on a Venn diagram.
(2) Hence find the number of students in the woodwind section who can play: all of the instruments mentioned
(3) Hence find the number of students in the woodwind section who can play: only the saxophone
(4) Hence find the number of students in the woodwind section who can play: the saxophone and the clarinet, but not the flute
(5) Hence find the number of students in the woodwind section who can play: exactly one of the clarinet, saxophone, or flute.