a) How many words (with or without any meaning) can be formed byarranging the letters in the word MEDITERRANEAN?b) 1 red, 1 blue, 1 black, 1 yellow and 1 white car are all waiting at the trafficlights behind each other. In how many different ways can they be waiting ifthe black car and only the black car is between the white and yellow cars?c) Students need to answer 8 out of 10 questions in mathematics exam. In howmany ways can a student choose 8 questions if the first three questions aremandatory?d) The English alphabet contains 5 vowels and 21 consonants. Find the numberof 5-letter words (with or without any meaning) composed of 3 differentconsonants and 2 different vowels. a) Let A be the set of all strings of decimal digits of length 5. For example 00312and 19483 are two strings in A. You pick a string from A at random. What isthe probability that the string has no 4 in it?b) Three distinct numbers between 10 and 25 (inclusive) are chosen atrandom. What is the probability that the numbers are all compositenumbers?c) Suppose that you pick a bit string from the set of all bit strings of length ten.What is the probability that the bit string has more Os than 1s?d) Suppose we want to pick two numbers from {1,2, .,100} randomly. What isthe probability that the sum of the two picked numbers is divisible by 5....

We can solve a maximum of first 3 subparts of the first question only as per company guidelines.

a) How many words (with or without any meaning) can be formed by arranging the letters in the word MEDITERRANEAN? b) 1 red, 1 blue, 1 black, 1 yellow and 1 white car are all waiting at the traffic lights behind each other. In how many different ways can they be waiting if the black car and only the black car is between the white and yellow cars? c) Students need to answer 8 out of 10 questions in mathematics exam. In how many ways can a student choose 8 questions if the first three questions are mandatory?

a) How many words (with or without any meaning) can be formed by arranging the letters in the word MEDITERRANEAN? b) 1 red, 1 blue, 1 black, 1 yellow and 1 white car are all waiting at the traffic lights behind each other. In how many different ways can they be waiting if the black car and only the black car is between the white and yellow cars? c) Students need to answer 8 out of 10 questions in mathematics exam. In how many ways can a student choose 8 questions if the first three questions are mandatory?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Solve a and b please
In how many ways can 10 students be assigned to 2 triple, 1 double hotel, 2 single hotel rooms during a conference?
After biology class you are tasked with putting 13 identical Bunsen burners away into 4 containers. a) How many ways can you do this if there are no restrictions? ways. b) How many ways can you do this if each container must include at least 1 Bunsen burner? ways.
In a construction site, the labor are working for 13 consecutive days.The average salary for 13 consecutive working days for the labor was $120/day.During first 6 days his average salary was $114/day and during last 6 days his average salary was $125/day. The salary on his 7th day is:- 1)124 2)128 3)125 4)126 5)None of these
d) The English alphabet contains 5 vowels and 21 consonants. Find the number of 5-letter words (with or without any meaning) composed of 3 different consonants and 2 different vowels.
The question is on the image, thanks!
b) 1 red, 1 blue, 1 black, 1 yellow and 1 white car are all waiting at the traffic lights behind each other. In how many different ways can they be waiting if the black car and only the black car is between the white and yellow cars?
How did they get the numbers in venn diagram break down step by step