21 An art gallery has a total of 11 paintings by a particular artist; of these, 5 are oil paintings and 6 are water colour paintings. The art gallery is asked to provide a special exhibition of this artist's work but it is restricted to showing only five of the paintings. Calculate the number ways in which the five paintings can be selected for the exhibition if: a. there are no restrictions. b. one particular painting must be included. c. there must be exactly three watercolour paintings. d. there must be more watercolour paintings than oil paintings.
21 An art gallery has a total of 11 paintings by a particular artist; of these, 5 are oil paintings and 6 are water colour paintings. The art gallery is asked to provide a special exhibition of this artist's work but it is restricted to showing only five of the paintings. Calculate the number ways in which the five paintings can be selected for the exhibition if: a. there are no restrictions. b. one particular painting must be included. c. there must be exactly three watercolour paintings. d. there must be more watercolour paintings than oil paintings.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 3CC: (a) What is a combination of r elements of a set? How many combinations are there of n elements...
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