1. Will there be at least five people who celebrate their birthday in the same month Yes No

Q: 3. If today is Thursday, what day is it 500 days from now?

A: Given that today is Thursday. Now, we have to find the day which will fall 500 days from now. Divide…

Q: 1 37.5 34.0 35.5 35.3 32.8 35.5 35.8 34.3 36.0 32.8 3 36.3 34.5 35.0 34.5 33.5 4 37.3 33.5 35.8 35.3…

A:

Q: |In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 9…

A: Combination is the arrangement of data without any order. It can arrange data from the sample from…

Q: Show that among a group of 621 people, there are at least 21 who are born on the same day of the…

A: Given 620 people was born in the same month .without loss of generality , assume that the month…

Q: If October of a certain year has 5 Wednesdays, on what days of the week could Halloween fall?

A: We know that there are 31 days in the month of october and Halloween's day falls on 31st of the…

Q: True or False: In a group of fifty (50) people, there must be at least 5 people who were born in the…

A: True or False: In a group of fifty (50) people, there must be at least 5 people who were born in the…

Q: Assume that the committee has 14 members, and that 4 different members are to be given special…

A: We have to find probability..

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A: We are given that there are 30 students in the class. We will assume that every student has first…

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A: The children's are :

Q: Birthday of Students by Month 12 10 8. 6. 00 4) Numberof Students

A: the data represent the number of students  whose birthday fall each month . the given data is…

Q: Suppose that 11 children collected 50 books. Prove by contradiction that at least two of them had…

A: In mathematics, proof by contradiction is a method of proving something by assuming opposite of what…

Q: Show that if 5000 boys registered for driving license during the last month(31 days) at driving…

A: Given that 5000 boys registered for driving license during the last month in 31 days at driving…

Q: Be able to demonstrate the fact that at least 10 of the 64 days selected must occur on the same…

A: let we have selected 64 daysThen day 1 is any one week day from 7weekdaysLet day 1 is weekday xAfter…

Q: 0.706 1.397 1.860 2.306 2.896 3.355 0.703 1.383 1.833 2.262 2.821 3.250 10 0.700 1.372 1.812 2.228…

A: Introduction: Denote μSAM-e as the true mean SAM-e level in patients with Alzheimer's.

Q: 4. If each Automated Teller Machine card of a certain bank has to have four different digits in its…

A: Answer is mentioned below

Q: 7. In a group of 30 people, must at least 3 have been born in the same month? Why?

A: To show that in a group of  30 people, must at least 3 have been born in the same month.

Q: In a class of 300 students, can we use the PHP to guarantee that there are 10 students who were born…

A: Given: In a class of 300 students, on using the PHP to guarantee that there are 10 students who were…

Q: (a) he is under 21 and has one or more violations during the past 12 months? (b) he is under 21? (c)…

A: As PER POLICY I HAVE CALCULATED 3 SUBPART PLZ REPOST FOR REMAINING PARTS

Q: 6. How many different 3-digit identification tags can be made if the digits can be used more than…

A: Note- Since both are different questions, so according to our policy we can answer only one…

Q: 1.How many license plates consisting of 6 digits (0 to 9) have their digits in strictly increasing…

A: Given that, How many license plates consisting of 6 digits (0 to 9) have their digits in strictly…

Q: The dataset posted below lists a sample of months and the advertising budget (in hundreds of…

A: Let us denote 1 for Yes and 0 for No. 1. Excel Procedure: Enter TV, radio, newspaper, Coupon and…

Q: If the 50 guests in the party described in question number 5 where actually couples (so there are 25…

A: Total guest , n = 50 Total Number of Handshakes  = n×(n-1)2=50×492=1225

Q: In how many ways can a president, a vice president, a secretary and at reasurer be elected from a…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

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) Suppose that four persons working in a factory are given the job of stamping expiry date on the…

A: Note: " Since you have posted many sub-parts. we will solve the first three sub-parts for you. To…

Q: Show that if there are 8 people in a room, then at least two of them must have been born on the same…

A: There are 7 days in a week.  So we can have 7 people who can have different birthdays from Sunday to…

Q: The vast majority of Visa and Discover Card credit cards have 16-digit card numbers. The first digit…

A: According to the given information, The first position has one choice. As the issuer is fixed from 2…

Q: 1. Suppose a company has hired ten new employees every Monday since it began. Each new employee…

A: I) There is 4 Mondays in a month. Total number of Mondays till the first Monday of the 18th…

Q: Suppose that as part of your New Year’s “Get Fit” resolution, you decided to do 10 push-ups each…

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Q: 1. There are 5 teenagers and 8 adults available for a 5-p. teenager and one adult, how many possible…

A:

Q: In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10…

A: Given that the picture has to be taken for 6 people out of 10 where exactly one of the bride or the…

Q: PLEASE HELP, i really need to understand these questions before my finals. pleaseee?

A: The Pigeonhole Principle:  If there are n+1 objects and it is required to place then in n boxes then…

Q: ) Suppose that four persons working in a factory are given the job of stamping expiry date on the…

A:

Q: It has been said in Seattle, Washington that at least 50% of the days are rainy.  A researcher…

A: Null hypothesis is a claim about a population that is assumed to be true untill it is declared…

Q: Assume the cards are drawn sequentially and without replacement. In how many ways can 3 diamonds be…

A: Given information- We have given that 3 diamonds be drawn from a standard deck of 52 cards. The…

Q: Prove that among 100 people, at least 9 were born in the same month.

A: We have a group of 100 people. We need to prove that at least 9 were born in the same month. We will…

Q: 3. How many different 5-digit identification tags can be made a.if the digits can be used more than…

A: Given: Number of digits in an identification code = 5 Total number of digits = 0 to  9 = 10

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: 1. There is a deck of 52 cards. How many ways are there to distribute 13 cards to each of 4 players?

A:

Q: 2. In how many ways can the 7 Harry Potter books be arranged shelf? on a

A: The objective is to find the number of ways to arrange 7 Harry Potter books on the shelf.

Q: How many people must be selected to guarantee that at least 4 have a birthday in the same month?

A: This is an application of pigeon hole principle. According to pigeon hole principle, if there are n…

Q: How many people are needed to guarantee that at least two were born on the same day of the week and…

A: There are 7 days in a week and 12 months in a year.

Q: The vast majority of Visa and Discover Card credit cards have 16-digit card numbers. The first digit…

A: According to the given information The first digit of the card has two choices (4 or 6) Digits 2…

Q: If 15 people won prizes in the state lottery (assuming that there are no ties), how many ways can…

A: Given that there are 15 people who won prizes in the state lottery. There are 5 prizes available.

Q: 5. Show that if there are 30 students in a class, then at least two have last name begin with the…

A:

Q: Assuming that no one has more than 1,000,000 hairs on the head of any person and that the population…

A: We can use Pigeonhole principal to answer this question.

Q: Suppose that you toss a fair coin 10,000 times. Write down explicitly the at the coin lands on heads…

A: Given information: Given that a fair coin is tossed 10,000 times.

Q: 2.21 Registrants at a large convention are offered 6 sightseeing tours on each of 3 days. In how…

A: Given: Number of sight seeing offered=6 Number of days of tour=3 Determine the number of ways in…

Q: (2 A cestain fishina lodae advestiss that 75% ofits quests Catch

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Q: 1. In how many ways can 8 members of Board of Directors be chosen from 5 juniors and 7 seniors if…

A: Let us suppose there are three marbles viz. a red, a green and a blue. From these, there are three…