(a) Among 82 people at least how many were born in the same month?Answer =(b) Assuming that no one is born on Feb. 29 (leap day), how many people should beselected to guarantee that at least 6 were born on the same day, not considering theyear?Answer =

a) Among 82 people at least how many were born in the same month? Answer = b) Assuming that no one is born on Feb. 29 (leap day), how many people sho selected to guarantee that at least 6 were born on the same day, not conside

a) Among 82 people at least how many were born in the same month? Answer = b) Assuming that no one is born on Feb. 29 (leap day), how many people sho selected to guarantee that at least 6 were born on the same day, not conside

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

Related questions

Q: 24. A 4-digit number will be made using the digits {1, 2, 4, 5, 7, 8, 9}. a) How many 4-digit…

Q: Assume that the users connect to a computer using terminals that are polled by the computer in a…

A: Given that the users connect to a computer using terminals that are polled by the computer in a…

Q: Assume the cards are drawn sequentially and without replacement. (permutations) In how many ways…

A: Given data, given that 5 Spades can be drawn from a standard deck of 52 cards. The cards are drawn…

Q: Question: Suppose you wish to share 10 identical mangos among 5 players. a) How many ways can you…

A: Part (a) Given that, each player must get at least one mango. So, five mangoes can be distributed 5…

Q: In a black bowl contains 10 red balls and 10 yellow balls. One person selects balls at random…

A: Given Information : In a black bowl contains 10 red balls and 10 yellow balls . One person selects…

Q: A bookstore has 8 Algebra with Trigonometry and 7 Introduction to Biology books available. If two…

A: Solution-: Given: Number of Algebra with Trigonometry books =8 Number of Introduction to…

Q: Suppose, you are given with a set of the first 27 natural numbers i.e {1, 2, 3, 4, 5 ... 26, 27}. If…

A: Given that natural numbers (1,2,3,.....27) from these 27 natural numbers we select 15 numbers whose…

Q: An urn contains 5 red balls and 4 white balls. Balls are drawn at random one after the other. Every…

Q: show possible outcome of flipping 2 coins at the same time using a tree diagram

Q: A die is thrown so that the number 1 has two times more likely than other numbers to appear. If we…

A: A die is thrown so that the number 1 has two times more likely than other numbers to appearWe have…

Q: A password is a string of 8 characters taken from the alphabet (that is, the set of 26 characters…

Q: Show that at least ten of any 64 days chosen must fall on the same day of the week. Please specify…

A: We need to proof at least ten of any 64 days chosen must fall on the same day of the week.

Q: A coin has two sides "Lek" and "Shqip". When this coin is tossed, the probability of a "Lek" falling…

A: From the given information, Sample space = {("Lek","Lek") ("Lek" ",Shqip") ("Lek", "Shqip")…

Q: 5. Petra has mastered the proofs for six of ten theorems. Two of the theorems will appear as…

Q: Use the generalized pigeon hole thereom to explain why amound 100 people, at least 9 of them have…

A: Pigeon Hole Theorem states that -" If there are more pigeons than pigeonholes, then there must be at…

Q: i) If you have twenty ones and fifteen zeroes how many ways can we arrange these digits such that no…

A: Disclaimer : Since you have asked multiple question, we will solve the first question for you. If…

Q: a committe of 4 is to be selected from 6 men and 5 women. 1 particular man and 1 particular woman…

A: From the given information, there are 6 men and 5 women. That is, the total number of persons is…

Q: Each telephone number in a city consists of 7 digits, the first of which must be 3 or 4. (a) How…

A: HERE TELEPHONE Diary consists of 7 digits, first is either 3 or 4.

Q: A lottery selects 2 digits from 0-9 without replacement. What is the probablilty that all 2 digits…

Q: Assume that one number from 1 to 7 is equally likely to be selected at random.Each number…

A: Given data

Q: 1. Consider a random 3 digit number. (a) How many ways can such a number be created? b)How…

Q: 10. Show that among 2000 student in UTEM, at least six were born on the same day of the leap year.…

A: 1] Red balls=10 2] Yellow balls =10

Q: Seven numbers are chosen at random from the whole numbers between 1 and 14, inclusive, without…

Q: Six numbers are chosen at random from the whole numbers between 1 and 17, inclusive, without…

A: Six numbers are chosen at random from the whole numbers between 1 and 17, inclusive, without…

Q: 6-letters word with or without meaning are created by using the letters of " SUNITA" a) How many…

A: Given, letters 'S', 'U', 'N', 'I', 'T', 'A' No of letters = 6

Q: 6) Suppose you are randomly assigned a 6 digit password for you West Valley portal account where the…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: a) Consider the digits : 0, 2, 4, 5, 6 , 7. i) How many 4 digits numbers can be formed if repetition…

Q: A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a…

A: Let m be the mass attached, k be the spring constant and β be the positive damping constant. The…

Q: 7. How many ways are there that in a class of 60 students, 2 students will not have the same birth…

A: Here Given 60 Students Now Assume that there is 365 Days in one year

Q: a) Three marbles are drawn successively from a box containing 8 blue marbles, 7 red marbles and 3…

Q: Select the correct choice that completes the sentences in parts (a) through (c). a) The probability…

A: We need to find the correct choice of option.

Q: Assume that a license plate must be of length 7. How many different license plates are possible…

Q: eting there are n people, if these n people are asked to indicate the month and day of their…

A: In a meeting there are n people, if these n people are asked to indicate the month and day of their…

Question

(a) Among 82 people at least how many were born in the same month?
Answer =
(b) Assuming that no one is born on Feb. 29 (leap day), how many people should be
selected to guarantee that at least 6 were born on the same day, not considering the
year?
Answer =

Expert Solution

Step 1

Introduction:

According to the pigeonhole principle, if n items are placed in m containers, with $n > m$ , at least one container must contain more than one item.

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

how many committes of seven with a given chairperson can be selected from 13 persons?
A person chooses 2 different odd numbers at a time in a set containing the numbers from 3 to 9. If event E is that 7 is chosen 1st, then find the set representing E
Four people are chosen from a group of seven people. Describe a situation of this case that involves a) Permutations b) Combinations
Five cards are selected out of 52. In how many different ways can this be done if: they contain at least 4 clubs?
3-digit numbers will be formed with the natural numbers from 1 to 5, without repeating any digita) How many numbers can be formed?b) How many numbers can be formed that start with 4?c) If one of the 3-digit numbers is selected, what is the probability that it starts with 1 and has 4 in the second position?
Cards are drawn one at a time, without replacement, from a standard deck of 52 cards until all 4 of the aces are drawn. How many cards are expected to be drawn in this process?
In the spring of 2003, SARS (Severe Acute Respiratory Syndrome) spread rapidly in several Asian countries. A logistic function modeling the spread of the disease in Hong Kong is given by 1760 P(t) = 1 + 17.53e-0.14t where t is measured in days since March 17, 2003 and P is the number of reported cases. Identify the month, day, and year that this model predicts the number of new cases will be growing at the largest rate. Remember to fully justify your answer. You may wish to make use of the fact that there are 31 days in March.
Solve all please