Suppose a family has four children. Find the number of arrangements of exactly two boys.

Q: Three Players were numbered as 1, 2, and 3. How many teams of two players can be formed? List down…

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Q: Suppose Pat has eight shirts and four pairs of pants. How many different outfits  can Pat make by…

A: The person has 8 shirts and 4 pairs of pants and he can make one outfit by combining one shirt with…

Q: You must select 3 individuals from a group of 5 for a conference. How many teams of 3 might you…

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Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

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Q: Find the number of ways in which we can select a team of 6 players from a class of 12 people.

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Q: In a bucket there are 5 purple, 15 gray and 25 green balls. If the ball is picked up randomly, how…

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Q: Que. How many 5-man squads could be chosen from a company of 20 men?

A: No. of ways of choosing 5 - man squads out of 20 men = C520…

Q: Find the number of permutations of the letters j, k, l, m, n, o and p taken 4 at a time

A: The given letters are j, k, l, m, n, o and p. 4 letters are taken at a time.

Q: A family has 4 children.  How many different boy/girl orders are possible?

A: When a family has a child there are two possibilities either a boy or a girl.

Q: Paul has 5 books to place on a shelf. How many possible arrangements of all 5 books are there?

A: given data 5 books to place on a shelf. no. of possible arrangements of all 5 books = ?

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: A child has fewer than 300 baseball cards. If he puts them in piles of 3​, 4​, 6​, 15​, or 18 he has…

A: Let, the child has x baseball cards.  Then, according to the given problem,        x = 1 (mod 3)…

Q: Lenny has 5 friends in his neighborhood. In how many ways can he choose 3 to help him move…

A: Lennh has friends = 5 Number of friend to be chosen = 3

Q: A class has 18 boys and 13 girls as students.

A: Given data:     The total number of boys in the class is: B=18. The total number of girls in the…

Q: Ladonna has 7 books to place on a shelf. How many possible arrangements of all 7 books are there?

A: Given,Total no.of books=7

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: There are 33 guests at your home for a dinner party. In how many ways could the guests arrange…

A: The objective of this question is to find out the number of ways in which 33 guests can arrange…

Q: A class has 10 students. How many choices for a president and a vice president are possible?

A: The number of total student are 10.

Q: Twelve people are to have their picture taken as a group. How many arrangements can there be if Mary…

A: Twelve people are to have their picture taken as a group.Mary has to be first in line and Tim last…

Q: A box of 6 donuts has 3 plain donuts, 2 chocolate donuts, and 1 blueberry donut. Assume the plain…

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Q: A teacher and his eleven students are standing in a single file line waiting to enter the cafeteria…

A: We have given that a teacher and his eleven students are standing in a single file line waiting to…