If a family has seven children, in how many ways could the parents have three boys and four girls?

Q: How many ways can a class president, vice-president, and secretary be selected from each of the…

A: Given data:   The total number of members in the seventh grade is N=110. The total number of members…

Q: In a school of 200 students, a math team, consisting of 15 students, is to be formed. Two team…

A:

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: A automobile race contains 15 racecars. In how many ways can the racecars finish in first, second,…

A: A automobile race contains 15 racecars.

Q: A clown owns 8 hat(s), 7 horn(s), 6 oufits. How many different outfits can the clown put together if…

A: Solution

Q: In a cohort of 25 graduating students, there are 3 different prizes to be awarded. If no student can…

A:

Q: Suppose a library has at least 6 copies of mathematics book, at least 6 copies of a physics book,…

A:

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

A:

Q: A committee is to consist of three members. If there are six men and seven woman available to serve…

A: given, Number of men=6 Number of women =7 total number of men and women=6+7=13 A committee is to…

Q: In a certain group of 50 students at Hogwarts School of Wizardry, only 15 students are wearing caps…

A: Let C be the group of students who are wearing caps and N be the group of students who are wearing…

Q: At family gathering were the following people:one grandfather, one grandmother,two father's,two…

A: Yes, There are not as many people as it sounds. Here is the list who attended Grandfather,…

Q: A city soccer league has 8 teams.  In how many ways could the league assign first, second, and…

A: There are total 8 teams We have to pick 3 teams from those 8 teams.  Since it is ranking, so order…

Q: In a group of 50 students, 25 are taking Math, 20 are taking Science, and 10 are taking both Math…

A: Number of students in total = 50Number of students taking Math = 25Number of students taking Science…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.