Q4.  a) How many different arrangements of the word PARRAMATTA are possible? b) A committee of four people is to be chosen from a group of nine candidates, consisting of five women and four men. 1) How many different committees are possible if there are no restrictions on the choice? 2) b) If the committee is chosen at random, what is the probability that it contains at least as many women as men? c) If the letters of the word SPECIAL are written in a random order, what is the probability that no two vowels are 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
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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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Q4. 


a) How many different arrangements of the word PARRAMATTA are possible?


b) A committee of four people is to be chosen from a group of nine candidates, consisting of five women and four men.


1) How many different committees are possible if there are no restrictions on the choice?


2) b) If the committee is chosen at random, what is the probability that it
contains at least as many women as men?


c) If the letters of the word SPECIAL are written in a random order, what is the probability that no two vowels are next to each other?

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