A popular brand of pen is available in 7 colors and 2 writing tips. How many different choices of pens do you have with this brand? ..... There are different choices of pens with this brand.

Q: At a furniture store, there a 4 different sizes of sofas, 7 different colors of fabric , and 8…

A: Given that, No.of  different sizes of sofas = 4 No.of different colors of fabric =7 No.of different…

Q: If there are 57 cards in a deck and 12 are dealt to each student, how many 12 card possibilities are…

A: Combination Rule:The arrangement of r objects from n different objects is given by:

Q: There are eight performers who will present their comedy acts this weekend at a comedy club. How…

A: Arranging n items is found by n! ways...

Q: A person going to a party was asked to bring 5 different varieties. How many different selections…

A: this is a combination related question  so the formula for combination of different selection is…

Q: A clothing store has a selection of 80 different ties. How many ways can six ties be selected for…

A: It is given that, A clothing store has a selection of 80 different ties. Chris and Alex select 6…

Q: A coach had 21 people try out for the team, but only 13 people can make the team. How many different…

A:

Q: a) A mother duck lines her 9 ducklings up behind her. In how many ways can the ducklings line up?

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: A car manufacturer allows you to customize and order vehicles on their website. When customizing…

A: Given: There are 2 different sizes of the engine, 2 different types of transmission, 8 different…

Q: A computer package comes with two different choices of printer, four different monitors, and 3…

A: Multiplication rule of counting: If there are ‘a’ number ways to make the first choice, b ways to…

Q: Your wardrobe consists of 2 shirts, 6 pairs of pants, and 14 bow ties. How many different outfits…

A: Solution :  Given that  The number of shirts = 2 The number of pair of pants = 6  The number of bow…

Q: There are four performers

A: number of performer = 4 so if n performer is their then number of arrangements are n! n! =…

Q: A ice cream store offers 7 ice cream flavors and 12 toppings. If you want to eat 3 different ice…

A:

Q: A man has 3 different pairs of shoes, 8 different pairs of socks, 4 different pairs of slacks, and 2…

A: We have given that 3 different pairs of shoes 8 different pairs of socks  4 different pairs of…

Q: In a club of 15 people, we need to choose a president, vice-president, secretary, and treasurer. In…

A:

Q: During the Computer Daze special promotion, a customer purchasing a computer and printer is given a…

A: It is given that the total number of software packages is 10and the number of free software packages…

Q: A mobile phone shop has 7 colors of iPad, 8 colors of HCT mobile phones and four colors of…

A:

Q: There are 12 members who are part of the student senate group. How many ways can the teacher…

A: We have to find the no of ways  can the teacher supervisor choose three of them to attend a…

Q: Consider a Little League team that has 15 players on its roster. How many ways are there to select 9…

A:

Q: If there were only 9 Runners on the team last year how many females were there on the team this year

A:

Q: During the Computer Daze special promotion, a customer purchasing a computer and printer is given a…

A: From the provided information, A customer purchasing a computer and printer is given a choice of…

Q: There are 9 women and 8 men signed up to join a swing dance class. In how many ways can the…

A: Given:  no of women=9  no of men=8  nonof ways to choose 8 people to join 2 or fewer must be men??

Q: The president has a team of 20 trusted bodyguards. In how many ways can the president choose 5…

A: Given,  The president has a team of 20 trusted bodyguards  We have to find the number of ways of…

Q: How many different choices of a car does a person have if a particular model comes in 14 colors and…

A: A particular model of a car has 14 color and 4 style. We have to find the number of choices of a…

Q: During the Computer Daze special promotion, a customer purchasing a computer and printer is given a…

A: Given that,  A customer purchasing a computer and printer is given a choice of five free software…

Q: In the table below, 400 individuals are classified according to whether of not they are vaccinated…

A: Required probability is P(person vaccinated and attacked)

Q: As a television executive, you have been given 24 shows to choose from to run during your prime time…

A:

Q: How many bridge hands are possible containing 4 spades, 6 diamonds, 1 club, and 2 hearts

A:

Q: A pizza restaurant offers the following toppings: onions, peppers, mushrooms, ham, anchovies,…

A: Number of arrangement of data can be studied using two methods. They are permutation and…

Q: A croissant shop has plain croissants, cherry croissants, chocolate croissants, almond croissants,…

A: Solution

Q: A pizza parlor offers a choice of 15 different toppings. How many different 3-topping pizzas are…

A:

Q: 2. Your friend Carlos brought over 10 videos. Together, you choose 4 of them to watch. How many…

A:

Q: There are 24 students in a math class. How many ways are there to select 3 students for a group…

A: There are 24 students in math class.  We have to find number of ways to select 3 students for group…

Q: How many ways are there in choosing 3 books from a shelf of ( 83 ) books ?

A: The number of way for choosing 3 books from a shelf of 83 books is C383 =83!3!×(83-3)!…

Q: There are 7 boys and 3 girls in a class. How many different ways can the classroom teacher create a…

A: From the given information,   Number of boys = 7 Number of girls = 3   Total = 10

Q: Your wardrobe consists of 5 shirts, 3 pairs of pants, and 17 bow ties. bow ties How many different…

A: According to multiplicative principle, if an event A can occur in m ways and each probability for A…

Q: There are 7 athletes at a track meet. How many different ways can they finish first, second, and…

A: Principle counting is a measure used for counting. It measure the number of possible outcomes in an…

Q: What are all the ways in which the top 4 racers in a 20 person race can finish?

A: Introduction:In the given situation, the number of persons participated in the race is 20. The…

Q: The drama club has 25 members and needs to elect officer. They will need a president, Vice…

A: Given data÷

Q: The number of ways in which 2 cards can be chosen or selected from a total of 6 cards equals:

A: We are asked to find the number of ways of selecting 2 cards from 6 cards

Q: As a television executive, you have been given 22 shows to choose from to run during your prime time…

A: Total number of shows Available n = 22 Total shows to be selected r = 12

Q: As a television executive, you have been given 19 shows to choose from to run during your prime time…

A:

Q: A popular brand of pen is available in 10 colors and 4 writing tips. How many different cholces of…

A:

Q: During the Computer Daze special promotion, a customer purchasing a computer and printer is given a…

A: Since we have given thatNumber of free software packages is given as a choice =6Total number of…

Q: An ice cream store sells 4 drinks, in 5 sizes, and 3 flavors. In how many ways can a customer order…

A: An ice cream store sells 4 drinks, in 5 sizes, and 3 flavors. The number of ways can a customer…

Q: there are eight girls competing in a ice skating competition.in how many ways can they finish in…

A: Given there are eight girls competing in a ice skating competition

Q: How many different ID cards can be made if you must choose 7 digits followed by 2 letters and any…

A: There are 10 digits  0,1,2,3,4,5,6,7,8,9 There are 26 alphabets A,B,C,D..... Z

Q: During the Computer Daze special promotion, a customer purchasing a computer and printer is given a…

A: It has been given that there are 8 different software packages. Thus, n = 8 A customer purchasing a…

Q: An ice cream store sells 4 drinks, in 3 sizes, and 7 flavors. In how many ways can a customer order…

A:

Q: A pizza shop offers mushrooms, pepperoni, and onion for their pizza topping and 1 type of cheese.…

A: The number of ways of selecting r objects from n objects can be given by evaluating the expression .…

Q: The car you are interested in has 16 color options, 3 engine choices, and 6 entertainment system…

A: Given ,  The car you are interested in has 16 color options , 3 engine choices , and 6 entertainment…