There are 10 girls in a class, all with different heights. They want to form a queue so that no girl stands directly between two girls shorter than her. How many ways are there to form the queue?

Q: 2. In how many ways can 6 girls and 9 boys be divided into three groups of equal size, if each group…

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Q: Find the number of different ways that an instructor can choose 7 students from a class of 16…

A: No. of students in a class for field trip(n)=16No. of students that an instructor can choose(r)=7

Q: How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his 25…

A: We have given that, from 25 employees we have to select 1 team leader and 3 team workers. First we…

Q: James owns 8 different mathematics books and 6 different computer science books and wish to fill 5…

A: Here , Order is not important . Hence use combination to find arrangement of books in a shelf .  n =…

Q: There are 13 members on a board of directors. If they must form a subcommittee of 6 ​members, how…

A: The objective of this question is to find out the number of different subcommittees that can be…

Q: A class has 17 ​students, of which 3 are seniors. How many committees of size 3 can be…

A: Crn=n!(n-r)!r! where 0≤r≤n

Q: Suppose you are at a buffet and there are 10 vegetarian options and 6 options with meat. How many…

A: There are 10 vegetarian options and 6 options with meat at a buffet. The number of ways that exactly…

Q: A parent brings 4 children to a movie and the family sits in a row of 5 seats. How many ways can…

A: There are total 5 members to sit. 4 of them are children and one parent. The parent sit on one one.…

Q: Find the number of ways to break a group of 12 people into 3 classrooms, no empty classrooms.

A: Solution

Q: Suppose that I have 250 pieces of candy, I randomly pick 15 of them from the bar and so over that 6…

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Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 7…

A: Given information 8 locations 7 deliveries needed 7 deliveries among 8 location is to be made It is…

Q: Find the number of ways that 6 teachers can be assigned to 4 sections of an introductory psychology…

A: It is given that, 6 teachers can be assigned to 4 sections. We have to find the no. of ways that 6…

Q: One gamer who plays Breath of the Wild has 7 different swords. How many ways can 2 swords be chosen…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: ferent ways could you schedule your free t

A: Given: Total number of hours, n = 7 hours Free time, r = 4   Use combination here, the formula is as…

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 3…

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Q: You have 4 indistinguishable gold coins and 4 indistinguishable silver coins. Each coin has a side…

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

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Q: The president of the college asked a fraternity to submit a list of 7 students to serve as guides at…

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Q: A manager of a small store wanted to install signs around the store saying, “Shoplifting is a…

A: Let X1 denote sales on Wednesdays with sign and X2 denote sales on Wednesdays without sign. We are…

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 20 pieces. How many different…

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Q: there are 19 members on a board of directors. If they must form of a subcommittee of 4 members ,how…

A: Given that the total number of members on a board of directors is 19. They must form a subcommittee…