A person has 8 friends of whom 5 will be invited to a party. How many choices are there if 2 of the friends will attend only together? Select one: O a. 26 b. 15 O c. 30 d. 35

Q: Choose the letter of the correct answer. A certain elementary school club has 50 members, 20 of…

A:

Q: Twelve people are on a committee. If five of them are to be chosen to serve on a subcommittee, how…

A: There are total 12 people.  Since it is a group of people so order does not matter. So we will use…

Q: A. Arrow has 3 red arrows, 4 green arrows and 5 blue arrows. He is going out to save the city and…

A: The arrows are 3 red, 4 green and 5 blue so the total number of arrows that can be taken are 12 so…

Q: A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the same…

A: Given: 4 Mothers 5 Children

Q: The IU East van that has a seating capacity of seven is to be used by seven athletes to get to the…

A: Given that, The IU East van that has a seating capacity of seven is to be used by seven athletes to…

Q: 150 grade twelve students were asked which of the following 3 TV programs they watch regularly. 102…

A:

Q: A child has 20 pieces of Halloween candy. They are as follows: 6 of them are chocolate bars, 9 are…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Selecting…

Q: A committee of fifteen people is having a meeting this afternoon. There are twenty one spaces to…

A: There are 3 different lots L1,L2,L3 Total spaces=21 (out of 21 6 are closed for renovation) total…

Q: A student has 20 video games: 4 adventure games, 6 arcade games, 5 puzzle games, and 5 simulation…

A: Given : A student has 20 video games : 4 adventure games , 6 arcade games , 5 puzzle games and 5…

Q: If mark has 17 grapes And gives away 2. how Many does he have left?

A: Subtraction problem

Q: A company is choosing their top four officers: CEO, COO, CFO, and CIO. If they have 7 people to…

A:

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: in how many ways can 7 students be seated in 4 chairs a. 210 b. 840 c. 2401 d. 35

A: Given Information: To find out the number of ways 7 students can be seated in 4 chairs.

Q: Bob decides to order baseball cards from an online catalog. Each pack of cards he orders cost $3.50…

A:

Q: In a group of 15 students, 6 students are girls.  In how many ways can a team of 10  students be…

A:

Q: Ahmed is a photographer. He charges OMR 5 per photograph. His monthly expenses are 474. How many…

A: Ahmed charge for 1 photograph:  OMR 5 Monthly expanses: OMR 474

Q: Three members of an organization volunteered to serve as President, Treasurer and Secretary. In how…

A:

Q: At a dinner party, 4 men and 4 women sit at a round table. In how many ways can they sit if the…

A: Given that At a dinner party, 4 men and 4 women sit at a round table. We have to find how many ways…

Q: After the tryouts for the volleyball team, the coach selects 14 people to join the team. Due to a…

A: To determine the number of ways the coach can choose 7 people out of 14, we use the combinations…

Q: In how many ways could 5 chocolate bars be choosen from a display of 10 chocolate bars? a. 50 b.…

A: Given No.of chocolate bars in display(n)=10No.of chocolate bars to be choosen(r)=5

Q: Given A={d,e =} and B={-1,0,1,2}. Determine the number of elements of AxB. Choices: a. 12 b. 10…

A: The number of A×B is 8.

Q: Thirteen people work in an office. If eight of them are to be chosen to serve on a hiring committee,…

A: Ans - Given, n = 13 people work in an office. If r = 8 of them are to be chosen to serve on a hiring…

Q: Let A= 0 0 and B= then AB equal 2 2 Select one: 3 4 а. -3 4 O b. 2 3 2 2 5 33 C. d. 2 2

A:

Q: There are 10 boys and 6 girls. How many ways are there of forming a group that consists of either 3…

A:

Q: A debating team consists of 9 boys and 9 girls. Find the number of ways they can sit in a row where:…

A: The total no. of boys is .The total no. of girls is .Consider the formula for . For  considered…

Q: If a bag contains 4 blue marbles 6 red marbles and 9 green marbles then the number of ways that 3…

A: From the information, given thatThe total number of blue marbles=4The total number of red marbles =…

Q: Assume that the camper has 5 jackets, 3 sleeping bags, and 14 different packages of food. An outfit…

A: Combination is the way of selecting a units from a set without considering position of order. The…

Q: We want to select 3 customers form a group of 8 customers to give each one a gift. How many possible…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

Q: A student has 12 video games: 4 adventure games, 2 arcade games, 3 puzzle games, and 3 simulation…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

Q: In the Electronic shop Illektrooneeq, TV set can be purchased in any of 4 different sizes, in any of…

A: Given Information: In the Electronic shop, TV set can be purchased in any of 4 different sizes, in…

Q: four people are tkaing a road trip. two sit in the front seat and two sit in the back seat. three of…

A: Given thatfour people are tkaing a road trip. two sit in the front seat and two sit in the back…

Q: Twelve people are on a committee, seven women and five men.  If a four-person subcommittee is to be…

A: Since we are going to form a committee so here order does not matter. So we will use combination. We…

Q: A license plate is to consist of 2 letters followed by 4 digits. Determine the number of different…

A: GivenA license plate is consists of 2 letters followed by 4 digitsTotal no. of letters from A-Z =…

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.