There are 2 blue and 4 yellow cars to be parked in a row of 10 parking bays. Assume that cars of the same colour are identical and the parking bays are chosen at random. (a) In how many ways can the cars be parked (b) In how many ways are the 4 yellow cars parked next to each other.

There are 2 blue and 4 yellow cars to be parked in a row of 10 parking bays. Assume that cars of the same colour are identical and the parking bays are chosen at random. (a) In how many ways can the cars be parked (b) In how many ways are the 4 yellow cars parked next to each other.

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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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

There are 2 blue and 4 yellow cars to be parked in a row of 10 parking bays. Assume that cars
of the same colour are identical and the parking bays are chosen at random.
(a) In how many ways can the cars be parked
(b) In how many ways are the 4 yellow cars parked next to each other.

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