Tony and Maria are two star-crossed lovers trying to get on a committee of 3 people. If there are 10 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: How many ways can a 4 member committee be selected from a club with 15 members? If the club's 15…

A: Given that there are 15 members. In 15 members, 8 are men and 7 are women.

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: 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: A criminal gets to pick his punishment by choosing among three rooms.  The first is full of burning…

A: There are three rooms First is full of burning fires Second is full of assassins with loaded guns…

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: A group of 5 women and 5 men must select a three-person committee. How many committees are possible…

A:

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: Amy, Brenda, Charles and Darren are playing treasure hunt in the garden numbered from 1 to 100…

A: Given: The total number of boxes is 100, which is numbered from 1 to 100 placed at different…

Q: ee has 9 members, consisting of 5 Republicans and 4 Democrats. An education group of 3 members is…

A: n= 9 R = 5 D = 4 Using the combination formula. Ways of selecting 3 members from 9 are:

Q: A secretary & a treasurer of a club are to be selected from 4 different members. How many ways can…

A:

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: A committee of 3 men and 2 women is to be chosen from a group of 12 men and 8 women. Determine the…

A: Given: A committee of 3 men and 2 women is to be chosen from a group of 12 men and 8 women. To Find:…

Q: Jessica knows that her glove drawer contains 12 green gloves, 10 purple gloves, 8 white gloves, and…

A: Given Information: No. of gloves=36Green gloves=12Purple gloves=10White gloves=8Red gloves=6

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: Natasha is in a class of 30 students that selects 4 leaders. How many ways are there to select the 4…

A: Given that  Natasha is in a class of 30 students that selects 4 leaders.  To find Number of ways are…

Q: Your daughter invited three couples to watch a  theater musical sponsored by my husband. If the 6…

A: Given that  Number of VIP guests = 6  = ( 3 couples ) If the 6 VIP seats arranged in a row are given…

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

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

Q: Seven women and nine men are on the faculty in the mathematics department at a school. How many ways…

A: Given : In a Mathematics department of school ; No. of women = 7 No. of men = 9 Sample size (n) = 6…

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.