Four numbers are randomly selected from a beaker of balls numbered 1 through 35. How many combinations are possible?

Q: A pizza parlor offers a choice of 16 different toppings. How many 3-topping pizzas are possible?

A:

Q: There are 5 defective light bulbs in a bin containing 60 light bulbs. How many ways can you select…

A:

Q: Four numbers are randomly selected from a beaker of balls numbered 1 through 35. How many…

A:

Q: Several states participate in Hot Lotto, a lottery that requires choosing 5 of the numbers 1-39 and…

A: It is given that lottery  requires choosing 5 of the numbers 1 to 39. Substitute n=39,r=5 in…

Q: Four numbers are randomly selected from a beaker of balls numbered 1 through 35. How many…

A: Formula : nx = n!x!(n-x)!

Q: How many 5-card poker hands are possible?

A: Combination Rule: The arrangement of r objects from n different objects is given by: nCr=n!r!n-r!

Q: A pizza place has pizzas in 2 different sizes, with 6 different flavors for the crust, and 10…

A:

Q: A College plans to interview 8 students for possible offers of a graduate assistantship. The college…

A: given, number of students= 8

Q: One hundred twenty-five people each purchased one raffle ticket. Three winning tickets are randomly…

A:

Q: In a box there are: 11 red books, 7 white books and 4 blue books. Five books are randomly selected.…

A: From the above data  We are given that  11 red books, 7 white books and 4 blue book

Q: 6. Find the » ted number of jazz records when 4 records are selected at random from a collection…

A: here as per guidelines i have calculated first main question  here given there are 5 jazz records ,…

Q: In a club with 5 male and 9 female members, how many 5-member committees can be chosen that have at…

A: We have to find no. If ways to arrange.

Q: A coffee shop serves 14 different kinds of coffee drinks. How many ways can 5 different coffee…

A: The objective is to find the number of ways in which 5 different coffee drinks can be selected from…

Q: A spinner is divided into eight equal sections labeled 1 through 8. Event A is landing on a number…

A: Given that a spinner is divided into 8 equal sections labeled 1 through 8. Event A is landing on a…

Q: At a movie festival, a team of judges is to pick the first, second, and third place winners from the…

A: Solution: From the given information, the number of films entered is 40 and a team of judges is to…

Q: Suppose a class has 18 women and 12 men.We wish to form a committee of 5 people.If the committee is…

A:

Q: In how many ways can a coach choose three swimmers from among five swimmers? Combination O Not…

A:

Q: (b). A club has 5 freshmen, 6 sophomores, and 7 juniors. How many committees of 4 people from at…

A: No. of Freshmen = 5 No. of sophomore = 6 No. of juniors = 7 Total = 5+6+7 = 18

Q: In a group of 6 married couples, 4 people are selected at random. In how many different ways that…

A: Given, n = In a group total 6 married couples means total 12 peoples. x = Select 4 people at random

Q: How many ways can a c

A: Given, a committee of 6 members be selected from an organization with 20 members

Q: A company received a shipment of 36 laser printers, including 6 that are defective. 3 of these…

A: The combination rule is depicted as : a). Given:  n=36 r=3 The calculations are as follows:…

Q: A pizza shop offers 15 toppings. How many different 3-topping pizzas can be formed?

A: Total number of toppings are 15.

Q: 5. Twenty athletes enter an Olympic event. How many different possibilities are there for winning…

A: Consider that we have to find out the probability of the athletes winning the gold medal, silver…

Q: Six players are to be selected from an 11​-player baseball team to visit schools to support a summer…

A: No. Of total students = 11 No. Of player to select = 6.

Q: A researcher wanted to test eight specific drugs and he had enough animals to test five drugs. How…

A: It is an important part of statistics. It is widely used.

Q: a restauranr offers 4 different flavors of coffee,3 different soup selections and 4 different…

A:

Q: A shipment of 520 calculators, 16 are found to be defective. How many defective calculators are…

A:

Q: Ten runners join a race. In how many possible ways can they be arranged as first, second, and third…

A:

Q: An election ballot asks voters to select 2 city commissioners from a group of 6 candidates. In how…

A: An election ballot asks voters to select 2 city commissioners from a group of 6 candidates. I Total…

Q: 8. In a beauty contest, there are 12 semi-finalist from which 5 winners will be chosen. How many…

A: Here we have to choose 5 winner among 12 semi finalists as shown below

Q: An election ballot asks voters to select three city commissioners from a group of six candidates. In…

A:

Q: 5 cards are drawn from a standard deck of 52 playing cards. How many different 5-card hands are…

A: Given that: 5 cards are drawn from a standard deck of 52 playing cards.

Q: 7. To win the small county lottery, one must correctly select 5 numbers from 99 numbers. The order…

A: Here, 5 numbers are being selected from 99 numbers.

Q: In a certain lottery the player chooses 5 numbers from the numbers 1 through 38. In how many ways…

A: The number of numbers chosen by player is 5.

Q: An election ballot asks voters to select five city commissioners from a group of seventeen…

A: Combination rule:From a group of m items, n items can be chosen in,

Q: There are 10 defective light bulbs in a bin containing 25 light bulbs. In how many ways can you…

A:

Q: 6 students are selected from a group of 13 students for prizes. How many different selected if they…

A: Given  Total students =13 Number of students to be selected from the group =6

Q: At a movie festival, a team of judges is to pick the first, second, and third place winners from the…

A: The total number of films  =40  the number of ways to give first prize  is    =40 the number of ways…

Q: 25. In a tennis tournament with 18 players, how many possible matchups (one-on-one) are there?

A:

Q: There are 12 people that have entered a gaming tournament with prizes for 1st place, and place, and…

A: Given that there are total 12 people. We will pick 3 different positions. since the order matters,…

Q: An election ballot asks voters to select three city commissioners from a group of six candidates. In…

A: Here, we have to find no of ways 3 city commissioners from a group of 6 candidates. L

Q: Three members of a committee will be randomly selected from five people. How many different…

A: We have to find number of different combinations possible.

Q: A pizza place has pizzas in 2 different sizes, with 7 different flavors for the crust, and 13…

A:

Q: How many different ways a president and a vice president  can be selected from a group of 14…

A: To find the number of different ways in which a president and a vice president can be selected from…

Q: How many different ways a president and a vice president  can be selected from a group of 20…

A: Combination is a method in mathematics that is used to calculate the number of way certain objects…

Q: How many combinations are possible to select a student president, vice president and treasurer among…

A:

Q: Before the election you want to determine the number of possible President/vice-president…

A: We have to write number of combination

Q: There are 11 girls and 11 boys in a class. A committee of seven is selected for a project. How many…

A: Here, there are 11 girls and 11 boys in a class, seven is selected for a project and there are…

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.