A drawer contains 22 black 22 white socks and 22 blue socks. If the light is off and Matt reaches into the drawer to get his​ socks, what is the minimum number of socks he must pull out in order to be sure that he has a matching​ pair?

Q: I have 250 unique pairs of socks. If I want to have a pair of socks, what is the minimum number of…

A: Matching Pair: A matching pair is an experimental design where objects having the same…

Q: An online furniture store sells chairs for $100 each and tables for $450 each. Every day, the store…

A: Minimum number of tables to be sold is 5 or more.

Q: A pencil case has 400 colored markers: 200 blue, 120 red, 50 green, and 30 yellow. What is the least…

A: Given problem Given that   A pencil case has 400 colored markers . 200 blue 120 red 50 green 30…

Q: schedule is to be made with football teams. Suppose that 7 teams need to play with three other teams…

A: It's clear from the given problem that 7 teams play against three other teams. This leads to 7…

Q: Suppose a department contains 12 men and 15 women. How many ways are there to form a committee with…

A:

Q: The bus has left seats and right seats with the maximum seating capacity of 48 persons. If the right…

A: Maximum seating capacity = 48 Number of right seats of the bus = 23 Number of left seats of the bus…

Q: A teacher gives a multiple-choice quiz that has 3 questions, each with four possible answers: a, b,…

A: Given that a multiple-choice quiz that has 3 questions, each with four possible answers: a, b, c, d.…

Q: The delivery truck driver union is concerned that the workload is unequal. How many ways can 120…

A: Number of ways of distributing n identical things into r bins with no restrictions is given by…

Q: A box contains 5 yellow, 8 green, 11 blue, 11 purple and 15 white balls. What is the minimum number…

A: Number of yellow balls = 5 Number of green balls = 8 Number of blue balls = 11 Number of purple…

Q: A company wants to have 6-digit phone extensions with the first digit not being zero. How many…

A: Given, No. of digit in phone extension = 6 First no- cannot be  0 Therefore no. of ways it can be…

Q: A box contains 18 red, 7 green, 11 blue, 21 yellow and 5 white balls. what is the minimum number of…

A: Given that a box contains 18 red, 7 green, 11 blue, 21 yellow and 5 white balls.

Q: witness to a hit-and-run accident told police that the license number contained 3 letters, of which…

A: Given witness to a hit-and-run accident told police that the license number contained 3 letters, of…

Q: A drawer contains 20 pens, of which 4 are green, 7 are orange, and 9 are black. At the least, how…

A: Given Data: Number of green pens=4 Number of orange pens=7 Number of black pens=9   Total number of…

Q: A drawer contains 17 black socks, 17 white socks, 17 blue socks, and 17 brown socks. If the light is…

A: Let’s say that he has picked four socks. If he have already found a pair after two or three or four…

Q: A license plate is to consist of 3 letters followed by 5 digits. Determine the number of different…

A: First, make all possible combinations of first 3 elements of the license plate, that is we need 3…

Q: The maximum number of marks attainable at a mathematics competition is 60. Kate obtains 40 marks,…

A: Given In a mathematics competition Total marks=60 Kate got  = 40 Priya got  = 46 Nora got marks = 49

Q: Find two different sets of coins that each make 120% of a dollar, where no type of coin is in both…

A:

Q: Assume that there are 13 pairs of black socks (çorap) and 8 pairs of blue socks in your drawer What…

A: In a single pair, there are two socks. In order to form a pair, at least 2 socks must be drawn.…

Q: In a city each person earns at most $5000 per month and every house is occupied by at most five…

A: HERE Given  Maximum earnings of of person = $5000 Maximum person in one one house= 5

Q: If the light is off 17 plack socks and 17 white socks if the light is off and Matt reaches into the…

A: If he pulls 2 socks, then he might get one black sock and one white sock. So, n≠2

Q: When I arrange the members of a marching band in rows of 2, 3, or 4, there is always 1 person left…

A: To solve the given problem

Q: Suppose the schedule at Pierce University has x mathematics courses and y computer science courses.…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: In a plastic bag there are 12 white marbles, 7 green marbles, and 8 blue marbles. What is the…

A: Given Data: Number of white marbles=12 Number of green marbles=7 Number of blue marbles=8   To Find:…

Q: A fedex driver has time to make deliveries at 6 locations among the 9 locations remaining. How many…

A: Solution: From the given information, 6 locations are to be chosen among 9 locations.

Q: What is the minimum number of cards that must be drawn from an ordinary deck of cards (52) to…

A: Given problem Given that   The minimum number of cards that must be drawn from a ordinary deck of…

Q: The first box contains 5 apples, the second box contains 7 apples, the third box contains 9 apples…

A:

Q: A bag contains 10 red marbles, 10 white marbles, and 10 blue marbles. What is the minimum number of…

A: From provided information; A bag contains 10 red marbles, 10 white marbles and 10 blue marbles. The…

Q: A company wants to have 7-digit phone extensions with the first digit not being zero. .... How many…

A:

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 7…

A: Given information 8 locations 7 deliveries needed 7 deliveries among 8 location is to be made It is…

Q: A four-person committee is to be selected from an organization’s membership of 12 people.  How many…

A:

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 5…

A: Combination:Combination is defined as the selection of all or part of a set of objects, without…

Q: In a customer service center, there are 18 complaints dropped per minute. What is theprobability…

A:

Q: drawer contains 17 black socks, 17 white socks, and 17 blue socks. If the light is off and Carol…

A:

Q: A company that produces sneakers has a fixed monthly cost of $3600. If each sneaker costs $6 and the…

A: Break even point is the point where company's revenues equals to its cost, we can denote it as…

Q: The intention is to form a committee consisting of 5 persons from BIM, a group of engineers and…

A: There are 10 engineers and 4 technicians. Thus, total number of individuals in the population is, n…

Q: A pin tumbler lock has a series of​ pins, each of which must be positioned at the proper height to…

A:

Q: determine x, the minimum number of sets of knives Brianna should buy?

A:

Q: A course has 30 students and four possible letter grades A, B, C, D. What is the maximum number of…

A:

Q: There are 10 questions on a discrete mathematics final exam. How many ways are there to assign…

A: Given: n = 10 (The number of questions) Each question is worth at least 5 points. 10 questions = 10…

Q: With a short time remaining in the day, a delivery driver has time to make deliveries at 6 locations…

A: Since the order of these 6 chosen locations will matter, hence the total number of routes can be…

Q: 4. A traffic accident witness said that the license plate number contains the letters RLH, followed…

A: Given,The license plate number contains the lettersRLH , follwed by 3 digits and the 1st digit being…

Q: {xlx is a whole number less than 6} if U is the set of all whole numbers

A:

Q: If a person is making the minimum salary for a construction worker, they are making more than what…

A:

Q: In a country, there are n farms and in each farm, there are at most 15 types of fruit trees. For any…

A: Use the data given to determine the answer. Use simple mathematics to determine the minimum number…

Q: How many different codes are​ available?

A: It is given that the code consists of four digits. The first digit cannot be zero and the last digit…

Q: Assume that there are 2 pairs of black socks (çorap),3 pair of pink socks, and 5 pairs of blue socks…

A:

Q: The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $328/person/day if…

A: Let the number of additional passengers be x. Cost per passenger = 328- 4x  Revenue (R) = (20 +x)…

Q: A drawer contains 20 pens, of which 4 are red, 7 are black, and 9 are blue. At the least, how many…

A: Given Data: Number of red pens=4 Number of black pens=7 Number of blue pens=9   Total number of…

Q: A restaurant provides a brunch where the omelets are individually prepared. Each guest is allowed to…

A: Let the restaurant offers n ingredients. When a person is choosing an ingredient for an omelet, then…

Q: Let [A1, A2], [B1, B2], [C1, C2] be 3 married couples who attended a concert.  Show that the number…

A: Consider that G is the group of females and B is the group of males.This two group of G and B can be…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.