A staff car park at a school has 13 parking spaces in a row. There are 9 cars to be parked. (i) How many different arrangements are there for parking the 9 cars and leaving 4 empty spaces? (ii) How many different arrangements are there if the 4 empty spaces are next to each other? (ii) I the parking is random, find the probability that there will not be 4 empty spaces next to each other.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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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A staff car park at a school has 13 parking spaces in a row. There are 9 cars to
be parked.
(i) How many different arrangements are there for parking the 9 cars and
leaving 4 empty spaces?
(ii) How many different arrangements are there if the 4 empty spaces are
next to each other?
(iii) If the parking is random, find the probability that there will not be 4
empty spaces next to each other.
Transcribed Image Text:A staff car park at a school has 13 parking spaces in a row. There are 9 cars to be parked. (i) How many different arrangements are there for parking the 9 cars and leaving 4 empty spaces? (ii) How many different arrangements are there if the 4 empty spaces are next to each other? (iii) If the parking is random, find the probability that there will not be 4 empty spaces next to each other.
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