What is the minimal number of people needed in a class to ensure that there are two students with the same birthday (the same month and date)?

Q: A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector choose…

A:

Q: How many different photographs are possible if four children sit in the front row and five adults…

A: The objective of this question is to find out the total number of different photographs possible…

Q: The records of 1492 high school students were examined, and the following information was obtained:…

A: The records of 1492 high school graduates were examined, which means that the universal set, Now,…

Q: In a survey, 90 high school students were asked if they are currently enrolled in Biology or Social…

A: Here we have to find the number of students who are enrolled in social science.

Q: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

A: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

Q: How many different ways are there to select a group of 3 out of 5 people for a cyber-sport team with…

A: From the given information,We have to find How many different ways are there to select a group of 3…

Q: A, B, C, D, or F at the end of the semester. (a) What is the minimum number of students required in…

A: From extended Pigeonhole Principle we know that if there is n pigeon and m pigeon holesn>m then…

Q: In recent years, a state has issued license plates using a combination of two letters of the…

A: Given that, In recent years, a state has issued license plates using a combination of two letters of…

Q: Find the minimum number of students needed to guarantee that 11 of them were born in the same month.

A: Use the Pigeonhole principle to solve this problem.

Q: How many ways can you pick the cars so not both are the same siz

A: Number of subcompact cars=7 Number of compact cars= 4 Number of midsize cars= 7 Total cars= 18

Q: A penny collection contains twelve 1967 pennies, seven 1968 pennies, and eleven 1971 pennies. If you…

A: Generalized pigeonhole principle For any function f form a finite set X with n elements to a finte…

Q: At a certain university there are 19 different time periods during which classes can be scheduled.…

A: Given that, in a certain university, there are 19 different time periods during which classes can be…

Q: A School's working day is divided into six periods. How many different ways may five subjects be…

A: From the provided information,   5 subjects can be arranged in a 6 periods in P56 ways. Any of 5…

Q: There are 10 teams. There are two periods; where 5 presentations have to be made for each one. How…

A:

Q: How many different license plates can be made by using two letters followed by three digits selected…

A: The licensing plate should contain 5 places in which first 2 positions filled with letters and next…

Q: In how many ways can an HR department head choose one or more applicants from six eligible…

A: Number of eligible applicants=6Choose one or more applicants Let, Number of ways=n=?

Q: How many different ways are there to select a group of 3 out of 7 people for a cyber-sport team with…

A: If a process is done in two phases in which the first phase can be done in m ways and the second…

Q: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

A:

Q: student registration for a course was 19 on Day 1, 46 on Day 2 and 73 on Day 3 how many students…

A: for two additional weeks, there will be 7 *2 = 14 days more now writing the pattern 19 , 46 , 73…

Q: Suppose that the number of students in a class increase by 2, the number of ways they may be…

A:

Q: You have five student groups to present in class. One group cannot go first because they need…

A: The objective of this question is to find out the number of possible orders in which the five…

Q: There are 35 different time periods during which classes at a university can be scheduled. If there…

A:

Q: Suppose you have data on "timing of childbirth" for a sample of new mothers at University of lowa…

A: GivenThe days before or after due date the baby born follow a normal distribution with mean 0 and…

Q: License plates from certain state consist of four different letters followed by two different…

A:

Q: in how many ways can the 20 children in a third-grade class be paired up for a trip to the museum?

A: Given that, There are 20 children and we need to make them as pairs.

Q: Suppose there are 20 students in our class and we want to choose 3 to sit in the front row. How many…

A: Given information There are 20 students We want to choose 3 to sit in the front row Total number of…

Q: A certain discrete mathematics class consists of 3131 students. Of these, 1414 plan to major in…

A:

Q: in how many ways can the letters MANAGEMENT be arranged?

A: Total number of ways in which a word with n distinct letters can be arranged is n!But we see that…

Q: How many different license plates are possible if 2 uppercase letters are followed by 4 digits and…

A: A number plate consist of 2 uppercase letters followed by 4 digits, in which first digit cannot be…

Q: The first census of United States took place in 1790 under Secretary of State Thomas Jefferson;…

A: Given  Here…

Q: There are 7 performers who will present their comedy acts this weekend at a comedy club. One of the…

A:

Q: That is a lot of passwords! How many passwords would the website have if users were allowed to reuse…

A: Given: There are 26 alphabets and 10 digits. The length of the password is 8 where six spaces…