Tony and Maria are two star-crossed lovers trying to get on a committee of 3 people. If there are 9 people eligible for this committee, how many ways can exactly one of Tony and Maria be selected for the committee?

Q: To prepare for a safe grad, a committee of 6 people must be formed from a group of 5 teachers and 6…

A: To determine the number of ways the committee can be formed.

Q: Tony and Maria are two star-crossed lovers trying to get on a committee of 4 people. If there are 10…

A: Consider that the 10 people includes Tony and Maria.

Q: There are 5 grade 12s, 4 grade 11s, 3 grade 10s, 2 grade 9s. How many ways can a president, vice…

A: Solution

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 senate committee has 15 members.  If a subcommittee of 6 senators is to be formed from the…

A:

Q: How many different committees can be formed from 9 teachers and 33 students if the committee…

A:

Q: In a box 20% balls are white, 33% balls are blue, 27% balls are red and rest are green. If the…

A: In a box 20% of balls are white, 33% of balls are blue, 27% of balls are red and the rest are green.

Q: A committee of six people is chosen from eight women and seven men.  How many          different…

A: Solution: From the given information, there are 8 women and 7 men. Here, 6 people are chosen at…

Q: In a certain year there were 98 female officers in Congress which is compromised Of the house…

A:

Q: Samantha owns 8 different mathematics books and 4 different computer science books and wish to fill…

A: We have given that Number of mathematics books = 8 Number of computer science books= 4

Q: There are 7 women and 8 men in a department.How many ways can this committee be selected if there…

A: To solve this problem, we need to find the number of ways to select a committee of 5 people from the…

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: How many different committees can be formed from 7 teachers and 40 students if the committee…

A: Solution-: Given: Number of teachers =7, Number of students =40 We want to find how many different…

Q: selected from a group of 11 Republicans and for Democrats. Find the number of ways of obtaining a…

A: Given that   Committee consists of members (r) = 7 Committee need to be selected from group of 11…

Q: How many different committees can be formed from 7 teachers and 39 students if In how many ways can…

A:

Q: How many different committees can be formed from 12 teachers and 39 students if the committee…

A: No. of teachers=12no. of students=39committee should consist of 3 teaches and 2 students

Q: How many different committees can be formed from 8 teachers and 41 students if the committee…

A: It is needed to find the ways of forming different committees from 8 teachers and 41 students if the…

Q: Tony and Maria are two star-crossed lovers trying to get on a committee of 3 people. If there are 10…

A: In the question,Tony and Maria are trying to get on a committee of 3 people,Total number of eligible…

Q: There are 7 women and 5 men in a department. How many ways can a committee of 4 people be selected?…

A: Given: Number of women = 7 Number of men = 5 Total number of people = 7+5 = 12

Q: How many different committees can be formed from 7 teachers and 49 students if the committee…

A: From the provided information, There are 7 teachers and 49 students and the committee consists of 2…

Q: Tony and Maria are two star-crossed lovers trying to get on a committee of 4 people. If there are 9…

A: As per the question There are total 9 persons and a committee of 4 people are selected. In this…

Q: In how many ways can the committee of 7 members be selected? How many different committees can be…

A:

Q: THERE ARE 5 SHIRTS, 3 PANTS 4 SHOES AND 2 BELTS, RYAN CAN USE TO MAKE A SUIT. HOW MANY POSSIBLE…

A:

Q: There are 10 teachers and 12 students willing to serve on a committee to improve technology at their…

A:

Q: How many different committees can be formed from 7 women and 8 men if the committee consists of 5…

A: We can select 5 women from 7 women in 7C5=21 ways We can select 4 men from 8 men in 8C4=70 ways

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.