Question 3 A staff car park at the university has 22 parking spaces in a row. There are 19 cars to be parked. Of these cars 11 cars are red, 2 cars are yellow and 6 cars are blue. a) How many different arrangements are there for parking these 19 cars? b) How many different arrangements are there if there are no empty spaces between the parked cars. c) How many different arrangement are there if all red cars are parked next to each other. d) If the parking is random, find the probability that no yellow cars are parked next to each other.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 2CC
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Question
a)
b)
c)
d)
A staff car park at the university has 22 parking spaces in a
row. There are 19 cars to be parked. Of these cars 11 cars
are red, 2 cars are yellow and 6 cars are blue.
How many different arrangements are there for parking
these 19 cars?
How many different arrangements are there if there are no
empty spaces between the parked cars.
How many different arrangement are there if all red cars are
parked next to each other.
If the parking is random, find the probability that no yellow
cars are parked next to each other.
Transcribed Image Text:a) b) c) d) A staff car park at the university has 22 parking spaces in a row. There are 19 cars to be parked. Of these cars 11 cars are red, 2 cars are yellow and 6 cars are blue. How many different arrangements are there for parking these 19 cars? How many different arrangements are there if there are no empty spaces between the parked cars. How many different arrangement are there if all red cars are parked next to each other. If the parking is random, find the probability that no yellow cars are parked next to each other.
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