Answered: In how many ways can we pick 2 books so…

In how many ways can we pick 2 books so that the following two constraints are both satisfied: (1) At least one book contains the colour red. (2) At least one book contains the colour green.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

We have 12 books in total.
3 books are coloured red,
4 books are coloured green, and
5 books are coloured both red and green.

In how many ways can we pick 2 books so that the following two constraints are both satisfied:

(1) At least one book contains the colour red.
(2) At least one book contains the colour green.

Give the answer as an integer, such as e.g. 742.

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