Question 4 / Vraag 4 Consider the arrangements of the letters in the word ALGORITME. Beskou die rangskikkings van die letters in die woord ALGORITME. Question 4.1/ Vraag 4.1 How many arrangements are there? Hoeveel rangskikkings is daar? Question 4.2/ Vraag 4.2 In how many arrangements do the letters R, I, T, M and E remain together in this order? In hoeveel rangskikkings kom die letters R, I, T, M en E in hierdie volgorde langs mekaar

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
Section14.1: Counting
Problem 84E
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Discrete mathematics

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Question 4 / Vraag 4
Consider the arrangements of the letters in the word ALGORITME.
Beskou die rangskikkings van die letters in die woord ALGORITME.
Question 4.1/ Vraag 4.1
How many arrangements are there?
Hoeveel rangskikkings is daar?
Question 4.2/ Vraag 4.2
In how many arrangements do the letters R, I, T, M and E remain together in this order?
In hoeveel rangskikkings kom die letters R, I, T, M en E in hierdie volgorde langs mekaar vo
Question 4.3/ Vraag 4.3
What is the probability that the situation in Question 4.2 will occur?
Wat is die waarskynlikheid dat die situasie in Vraag 4.2 verkry sal word?
Transcribed Image Text:3| Page Question 4 / Vraag 4 Consider the arrangements of the letters in the word ALGORITME. Beskou die rangskikkings van die letters in die woord ALGORITME. Question 4.1/ Vraag 4.1 How many arrangements are there? Hoeveel rangskikkings is daar? Question 4.2/ Vraag 4.2 In how many arrangements do the letters R, I, T, M and E remain together in this order? In hoeveel rangskikkings kom die letters R, I, T, M en E in hierdie volgorde langs mekaar vo Question 4.3/ Vraag 4.3 What is the probability that the situation in Question 4.2 will occur? Wat is die waarskynlikheid dat die situasie in Vraag 4.2 verkry sal word?
Expert Solution
Step 1

Q (4.1)

Here, the given word is ALGORITME.

The list of number of each letter is shown below.

A:1L:1G:1O:1R:1I:1T:1M:1E:1

The number of ways in which ALGORITME can be arranged is,

n=9!n=362880

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