Problem 1 In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10 people, where the bride and the groom are among these 10 people, if 1. the bride must be in the picture? 2. both the bride and groom must be in the picture? 3. exactly one of the bride and the groom is in the picture?

Q: There are 100 students who are taking history or sociology. If 10 are taking both courses and 45 are…

A: Total students (history or sociology) = 100 Both(history and sociology)  = 10 History = 45 Sociology…

Q: Suppose you are to arrange 9 people on a line. If 5 specific people require to be following each…

A: Given,total no.of people=9

Q: . Eleven students are lined up to be seated. How many ways can 6 of them be seated in a row of 6…

A:

Q: Question 9.7) There are 3 Grey Shirts,5 Orange Shirts and 4 Blue Shirts in a suitcase.Gary selects 4…

A:

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1*, 2nd and 3rd…

A:

Q: Suppose there are 6 roads connecting town B to town C and 4 roads connecting town C to town D. In…

A: According to the given information in this question  Here are 6 roads connecting town B to C  And 4…

Q: may a. In how many ways may the scholarships be awarded such that 2 men and 2 women are selected. b.…

A: Here given , there are 4 different prizes  And here there are 5 men and 4 women in group of scholar…

Q: 5. You meet some fellow students in the cafeteria. They are asking other students if they play the…

A: Venn diagram is the pictorial representation of the different groups which are countable. It explain…

Q: How many different ways can 7 students consisting of 4 boys and 3 girls sit in a row if ; a. They…

A: Represent the 7 seats in 7 blocks where each a boy or girl can be seated in each block.  Fill each…

Q: distinct permutations of the word BARRACKS. 4. In how many ways can 7 trees be planted following a…

A:

Q: In how many ways can a person walk 5 blocks north and 4 blocks west, if the streets are arranged in…

A: A person can walk 5 blocks north and 4 blocks west, if the streets are arranged in a standard…

Q: A garderning company is planting trees and flowers at 3 sites on the median of a new road. For each…

A: * SOLUTION :-

Q: 8. There are 18 students in a class. Sam and Kate must sit next to each other in the front row. If…

A: Number of students in a class = 18 Number of rows in the front seat = 9 Sam and Kate must sit next…

Q: If "P, = 840, "C, = 35, then r =

A:

Q: A mother, father, and their three children are to line up for a photo. In how many ways can these…

A:

Q: 5.) 5 WOMEN AND 6 MEN ARE STANDING IN A LINE. HOW MANY ARRANGEMENTS ARE POSSIBLE IF ANY INDIVIDUAL…

A: No of people = 5 women + 6 men = 11

Q: A camp counselor and four campers are to be seated along a picnic bench. In how many ways can this…

A: The objective of this question is to find the number of ways the camp counselor and four campers can…

Q: Problem 2. Ann, Bert, Caren, Dan, Eli, Farrah, Gab and Heni is assigned as a group in a certain…

A: The no. of members in the group created for a certain class activity is 8.  Group leader is Ann. Ann…

Q: If there are 3 representatives from Company A and 4 representatives from Company B meet. If they…

A: This is a application of Fundamental Principle of Counting .

Q: 1. Suppose Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. How many different outfits can…

A: Given: Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. The total different outfits Ivana…

Q: QUESTION 1. There are three shirts of different colors, two jackets of different styles and five…

A: Given :  There are 3 shirts of different colors, 2 jackets of different styles and 5 pairs of pants…

Q: 4. Using the letters from the word CUSHI O N: How many 5 letter arrangements are possible? Express…

A: Use formula of combination, selecting n objects from m can be expressed as: Cnm=m!n!(m-n)!

Q: An automobile license plate is designed to show 4 letters from A to Z followed by a 4-digit number.…

A: Total no.of letters from A-z=26Total no.of digits from 0-9=10

Q: 4.) How many ways are there to seat 6 people in a row?

A: given data  we have to find number of ways to arrange 6 peoples in a row.

Q: Question 1. In how many ways can a father along his two sons and two daughters be arranged for a…

A: Here total 5 persons  1 father and two son and two daughters  For photography father is at middle…

Q: 3. At graduation, 11 friends decide to take a group picture together. In how many ways can this…

A: 11 friends ,  Want to take a group picture together No. of ways = ? (Group of friends can be…

Q: A committee of 5 is to be made from 3 students and 6 teachers. In how many ways can this be done a.…

A:

Q: .There are four couples want to have their dinner in a round table . In how many ways can they…

A: From the given information, there are four couples want to have their dinner in a round table. Note:…

Q: A class contains eight boys and eight girls. In how many ways can they stand in a line if they must…

A: Given, A class contains eight boys and eight girls.

Q: ) Ted, Robyn, Barney, Marshall, Lily, Stella, Victoria, Tracy, Karen, and Holli line up for a…

A: Please refer to the image below

Q: c The left column of a 3-step subtraction staircase has the numbers -2,8, 11 in some order. Find the…

A: ANSWER

Q: Sri and her father are piling logs at their backyard. The first layer has 15 logs, the fifth layer…

A: Given Data: Number of logs in the first layer a1=15 Number of logs in the first layer a5=7 Total…

Q: A committee of 6 students has to be formed from 10 boys and 8 girls. In how

A: As per Bartleby's guidelines, three parts of the given question can be solved at a given time. Given…