1. Will there be at least two people who celebrate their birthday on the same day Yes, definitely O Not necessarily 2 Will there be at least three people who celebrate their birthday on the same d:

Q: 2. Let S be the set [9] = {1.2..9}. 1 (D) How many derangements of S have 9 in the 2nd position and…

A: We have the set 9=1,2,...,9 We need to find the number of derangements. There are 9 places to fill…

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: A box contains 15 balls in which seven are green and eight are yellow. If five balls must be drawn…

A:

Q: Prove that at a party where there are at least two people, there are two people who know the same…

A: There are two cases to consider:   Assume there is a someone at the party, who knows everyone else…

Q: 7. There is a SUNY-Korea party that n men and n women attended. Each ma knows exactly k women, and…

A: Men n Women m   Each woman knows exactly    k women k men Bipartite graph

Q: (a) a certain test tube contains 2 micro-organisms, (b) exactly 3 out of 5 test tubes contain 2…

A:

Q: * If HO: u=30 HA: µ #30 O HA: μ 30 Ο all above O dont of them O

A: Given  Null hypothesis Ho: μ=30

Q: 1.) In the questions below suppose that a "word" is any string of seven letters of the alphabet,…

A:

Q: 11. Establish the following relation between Fibonacci and Lucas numbers: L,=u, + 2u,-1

A: Introduction: We know that the relation of Fibocanci number and Lucas numbers is given by  F0=0,…

Q: 2. Suppose a, b, and care integers. Prove that if a |band alethen a |b+c and a|b-c.

A: Assume a|b and a|c.

Q: a) If A belongs to B and B belongs to C, then A belongs to C. b) If A belongs to B and B belongs to…

A: Solution

Q: A US study concluded that following 7 simple health rules can extend a man’s life by 11 years on the…

A: a)Since, 5 out of 7 rules are to be adopted and the order of adoption is not important. Then, the…

Q: Prove that at a party where there are at least two people, there are two people w know the same…

A:

Q: Suppose in a small town there are three places to eat, a Chinese restaurant, a Mexican restaurant,…

A:

Q: Prove: If = ¿ (where a, b, c, and d are nonzero), b then d*

A: Given:               ab=cd  (where a,b,c  and d are non zero.)

Q: 1. Suppose three cards are selected from a standard deck of 52 cards and laid out in a row on a…

A: A combination is a selection of items from a group of items, where the order of selection is not…

Q: (a) Fewer than four marriages will occur in December. (b) At least 14 but not more than 18 marriages…

A: Average marriage per month = 5   The probability of fewer than four marriages is given by Excel…

Q: АЗ. Suppose a fair coin is flipped twice. Let A, = "Head on 1“ Toss" Az = "Head on 2nd Toss" Az =…

A: If any two events are independent in a given experiment, then those events are known as pairwise…

Q: Suppose that in a particular Finite course, 5/14 of students plan on majoring in math, 11/42 plan on…

A: Given information- We have given the proportion of particular Finite course. P (Major in math) =…

Q: Suppose there were 500 nurses graduating this year. Assume that 400 were registered nurses (RN), and…

A: Let RN be the registered nurses, and H be the nurses who plan to work in hospital. From the…

Q: A California study concluded that following 7 simple health rules can extend a man’s life by 11…

A:

Q: a. Exactly 16 of them are repeat offenders. b. At most 21 of them are repeat offenders. c. At least…

A: Given : 46% of all violent felons in the prison system are repeat offenders. i.e Probability…

Q: 4. If it is sunny, Ben will go biking. (S, B) It is not sunny. Therefore. Ben did not go biking.

A: Lets wright S= it is sunny, and B= Ben will go biking Given statement If it is sunny, Ben will go…

Q: a. A fleet of sixteen taxis is to be dispatched to three airports in such a way that three go to…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , AS YOU POSTED A AND B TOTALLY…

Q: 2. Nine runners are entered in a 100-meter dash for which a gold, silver, and bronze meda will be…

A: Solution: Total number of runners = n= 9  Number of medals = Gold, Silver and Bronge= r= 3

Q: 1. Of 25 microcomputers available in a supply room, 10 have circuits boards for a printer, 5 have…

A: According to Bartleby guildlines we have to solve first three subparts and rest can be reposted...…

Q: If n is not a poime then there exist Some ab€ 7h Such that ab # Itnk fox all

A: Definition: A number which can not be factored as product of two numbers other than the number…

Q: Use the pigeonhole principle to prove the following statement. For any gathering of six people,…

A: Two possibilities=>( i )Mutual Friend                                  (ii)stranger  (let K be…

Q: Suppose a tair Coin is flipped twice, het A, = "Head on 1st Toss" A= "Hend on 2 Toss" Ag=" %3D 1)…

A: Suppose a fair coin is flipped twice, let A1=”Head on 1st toss”, A2=”Head on 2nd toss” and A3=…

Q: 7.The 11colleges of interest to a high school senior include that are expensive​ (tuition more than​…

A: Consider the provided question, Given, The 11 colleges of interest to a high school senior include 7…

Q: 1. Suppose three cards are selected from a standard deck of 52 cards and laid out in a row on a…

A: Since you have requested for d,e,f,g parts only, we have provided the solution for the same.

Q: In a lottery, there 250 prizes of $5, 50 prizes of $25, and ten prizes of $100. Assuming that 10,000…

A: Given that  In a lottery there are  250 prizes  -- $5 50 prizes   --  $25 10 prizes  --  $100 If…

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

A:

Q: here are  14  European cities that Keiko would eventually like to visit. On her next vacation,…

A: Given data There are 14 European cities that Keiko would eventually like to visit. on her next…

Q: 2.    If SSbetween = 30, SSwithin = 40, dfbetween = 3, and dfwithin = 20, then F = ______.

A: Calculation:From the question you have posted, it can be assumed that the values relate to an…

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: a) that contain no vowels, if letters can be repeated? b) that contain no vowels, if letters cannot…

A: CLEAR STEP BY STEP ANSWERS ARE GIVEN FOR YOU ALL QUESTIONS

Q: Today is not Monday if and only if tomorrow is Wednesday. (M, W) * O W M O WM O ~M W ~(M+W)

A: Given that: 1. Today is not monday if and only if tomorrow is wednesday.2. The class will be happy…

Q: A California study concluded that by following 7 simple health rules a man's life can be extended by…

A: Combination: A combination is a selection of items from a group of items, where the order of…

Q: 16. If an+2 = 5an+1 - 6an and ao = 0, a1 = 1, then a10 = %3D 59,125 O 58,025 O 56,425 O 59,700

A:

Q: (The party problem). Prove the following: At a party of six people there must exist either three…

A: The above problem is known as Friendship Theorem and is an example of a Ramsey theory.…

Q: Prove that out of 14 people either there are three, each pair of whom are acquainted, or there are…

A: Suppose there is a person A among the 14 people. Look at the following representation, where the…

Q: Suppose that in a particular Finite course, 4/7 of student plan on majoring in math, 25/42 plan on…

A: Given Information- 4/7 of student plan on majoring in Math, 25/42 plan on majoring in…

Q: 1. Given a deck of 30 cards labelled with numbers 1- 10 (with 3 cards of each number), how many…

A: From the given information,  A deck of 30 cards labelled with numbers 1-10 (with 3 cards of each…

Q: 5/- Show that Jim c

A: C>0 Consider   y=C1n log y=log(C1n) (logab=bloga)

Q: 12 patients have fever, 6 patients have colds, 15 patients have headache.  1 patient has all three…

A:

Q: A research Development department at Oda manufacturing company determines that 20% of people who…

A: The percentage of a whole is equal to the parts of the whole when a total of 100 parts of the whole…

Q: 4. Use a proof by contrapositive to prove that, for integers r and y: if a+y is odd, then exactly…

A: Here we use  Odd + Odd = Even Even +Even =Odd   Note:According to our guidelines we can solve only…