6. What is the minimum number of students, each of whom comes from one of the 13 states, who must be enrolled in a university to guarantee that are at least100 come from the same state.

Q: Le US can you guarantee have the same three

A:

Q: 6. A University building has 9 doors. In how many ways can a student enter and leave by different…

A: Total no of doors in university = 9 We have to find the no. If ways a student can enter and leave by…

Q: 1. A school issues each student an ID with a unique code consisting of two lowercase Tolowed by…

A: The id will consist of a unique code with 5 characters to be filled. First, we will have two letters…

Q: 20. An employee identification code for a hospital consists of 2 letters from the set {A, B, C, D}…

A: To  calculate the identification code if both letters and digits are repeated. The identification…

Q: 1)Tom has 2021 balloons to be evenly distributed among 21 students. If every student receives the…

A: Tom has 2021 balloons .We have distributed in 21 students every students receive balloons…

Q: 1. Draw up a blank table in which could be entered the number of work people employed in four…

A:

Q: A total of Heart patients deaths in South Carolina (in the past 90 days as of January 7, 2022) is…

A: For the State of South Carolina, it is given that: The total number of Heart patients deaths in…

Q: In how many ways can we select a committee of five persons from a group of five women and six men…

A:

Q: The access code of a security system consists of nine digits. How many different codes are avaliable…

A: Given : The access code of a security system consists of nine digits.

Q: Samantha has 8 unique colours of cans of paint at her house. If she wishes to paint a design on one…

A: Dear student according to the guidelines we solve only first question when multiple different…

Q: There are 9 Canadian, 8 German, 6 Chinese, 10 French and 8 Russian students in a class. What is the…

A: We have, Total Nationalities = 5. So to guarantee at least four of the selected should have the same…

Q: 3. Sophia has a bowl of 15 red, 15 blue, and 15 orange pieces of candy. Without looking, Sophia…

A: (a) Sophia has to grab (3+3+3)+1 = 10 candies to make sure she has at least 4 of the same colour.…

Q: Find the probability and interpret the results. If convenient, use technology to find the…

A: Mean(μ)=60500standard deviation(σ)=6400sample size(n)=43

Q: 13. How many ways can five different graduation scholarships be awarded to 20 students under each of…

A: From the given information ,Number of scholarship be awarded = Total Number of students = 20…

Q: 8. a) Determine the total number of different Five-card hands that can be made from a standard deck…

A:

Q: a) What if the person violates all 7 rules? b) What if the person never drinks alcohol and always…

A: Here use combination

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: What is the minimum number of students, each of whom comes from one of the 17 regions, who must be…

A: We have students comes from 17 regions.  Now we will distribute no of students to each of 17…

Q: 8. Suppose Jack has 1 red ball, 1 orange ball, 1 blue ball, 1 yellow ball, 1 black ball and 1 green…

A: Given that  Jack has  Red ball = 1 Orange ball = 1 Blue ball  = 1 yellow ball = 1 black ball = 1…

Q: c) A combination lock has 10 different single digit numbers to choose from and make a number with…

A: The number of total digits to choose in the lock are 10. The number of digits used to open the lock…

Q: 11. Nine women and twelve men are members of Computing Club at School of Computing, Universiti Utara…

A: We need to find number of ways.

Q: What is the minimum number of students, each of whom comes from one of 10 provinces who must be…

A: Let number of students that enrolled = n Number of provinces = 10 Number of pigeon holes = 10 Number…

Q: The local elementary school PTA is forming a 5 member committee to organize the campus…

A:

Q: 4. A computer center acquires eight different models of laptops of the same color and shape. If they…

A: We have in all 8 laptops in a drawer and choose 5 from them.

Q: Assume that there are six final exam to be scheduled at a university. Suppose that the courses are…

A:

Q: 18. A security company requires its employees to have a 7-character computer password that must…

A: We have 7 places which among 5 must be filled by letters and the remaining 2 must be filled by…

Q: Find the number of possible four-letter code words, selecting from the 26 letters in the alphabet,…

A: From the provided information, Total letters = 26 Four letter code words is formed.

Q: The junior class at a high school has 425 students. Looking at registration for next fall, a…

A: The objective of this question is to find out how many students will be taking all four 'core'…

Q: olve the following problem using the principle of inclusion and exclusion: Among a bank’s 250…

A: We have to obtain the count of desired population as asked in the question.

Q: A combination lock uses 3 numbers, each of which can be from 0 to 26.   a] If there are no…

A: A combination lock has 3 numbers and each of which can be from 0 to 26.

Q: 1) Each student is classified as a member of one of the following classes: Freshman, Sophomore,…

A: the pigeonhole principle states that if {\displaystyle n}n items are put into m containers, with…

Q: (a) The US Postal Service uses 5-digit zip codes in many areas. How many such zip codes are…

A: We employ the basic rules of counting to solve this problem. Note that a 5 digit zip code will be of…

Q: Ebon will be inviting 50 friends, and they will be reaching the island on Ebon's huge private yacht.…

A: