Between the two sections of a math class, there are 24 students. Sometimes students like to study together. Show that there exist two people who have studied with the same number of classmates using Pigeonhole Principle.

Q: Find the number of ways of placing 12 balls in a row given that 5 are red, 3 are green and 4 are…

A:

Q: Emma’s 100-meter dash time is ranked at the 96thpercentile among all highschool sprinters in the…

A: We have to find Emma's rank.

Q: A software company is hiring for two positions: a software development engineer and a sales…

A: It is given that the number of people applying for engineering position is 15 and the number of…

Q: a university, a dean is going to select 8 volunteers to serve on a committee. There are 9 volunteers…

A:

Q: Two groups are running a race. The first group is made up of 6 students and the second group is made…

A: group 1 n1 = 6x1= 521.4 secondsgroup 2n2 = 8x2 = 502.6 secondsfinal average = ?

Q: In a certain year there were 98 female officers in Congress which is compromised Of the house…

A:

Q: Compute P7,2.

A: It is given that n = 7 and r = 2.

Q: The average age of a class of 25 students is 10 years and the average age of another class of 30…

A: Here given that the average age of a class of 25 students is 10 years . And also given that the…

Q: Two groups are running a race. The first group is made up of 6 students and the second group is made…

A: group 1 n1 = 6x1 = 521.4group 2n2 = 8x2 = 502.6find average (x) = ?

Q: A student took all 8 tests in the first semester and had an average score of 82. Then the teacher…

A: The average is defined as the mid-value of an assumed data set. For observations, (n-number of…

Q: A team of 12 is being selected from 10 females and 15 males. The team must include of five females…

A: Answer - A team of 12 is being selected from 10 females and 15 males.               The team must…

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: Mrs. Dronamraju has 30 tall plants. Fifteen of her plants have a height of 1.60 m and the remaining…

A:

Q: On the way home from school, Dora likes to eat cookies. One daytime, just as she reached into her…

A: Let Dora had  x pieces of cookies in her backpack. Swiper stole (x2+2) pieces of cookies. Dora left…

Q: If there are 5 logs in a pile of 30 that have sap on them, how many logs will have sap out of 360?

A: Given:--Number of logs that have sap on them in pile of 30 = 5 To Find:- Number of logs that have…

Q: takes one great sword unsheathe attack, one full spirit long sword combo, f light bow gun and five…

A: Gauss Siedel method: In numerical algebra, the Gauss-Seidel method also referred to as the Liebmann…

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

A:

Q: Once a computer worm infects a personal computer via an infected e-mail message, it sends a copy to…

A: If the first computer can infect x  computers, then each of these x computers can infect x…

Q: Your company wants to assign identification numbers to each of its employees.  The identification…

A: We are given an identification number consists of 5 numbers followed by 3 letters. And also…

Q: A license plate is to consist of two letters followed by four digits. Find the number of license…

A: Given,no.of letters=26 (A to Z)no.of digits=10 (0 to 9)

Q: There are three condiments available to make a sandwich. How many ways can you make a sandwich using…

A: Given There are three condiments available to make a sandwich

Q: In a scout camp, there are 1152 campers. Their coach separates them two into two equal groups and…

A: In a scout camp, there are 1152 campers. Their coach separates them into two equal groups and lines…

Statements and Logic

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