7. Can work be shown

7. (8 points) An art gallery has a total of 1 1 paintings by a particular artist; of these, 5 are oil paintings and 6 are watercolor paintings. The art gallery wants to have exhibition showing only 5 paintings. SHOW YOUR WORK FOR ALL PARTS! (a) Calculate the number of ways in which the 5 paintings can be selected for the exhibition if there are no restrictions. (b) Calculate the number of ways in which the 5 paintings can be selected for the exhibition if there must be exactly 3 watercolor paintings. (c) Calculate the number of ways in which the 5 paintings can be selected for the exhibition if there must be more watercolor paintings than oil paintings