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: 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: 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: 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: 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: 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: 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…

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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: 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…