How many license plates can we have of three digits followed by three letters? We allow repeated digits and letters.

Q: How many bags of 25 pieces of candy can one buy from a store that sells four types of candy?

A:

Q: License tag consists of 3 letters followed by 4 digits. How many tags are possible if no letters can…

A:

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: How many different license plates can be made if each is to display 3 numbers and 3 letters?

A: We have to find out no. Of ways...

Q: A girl owns 6 pairs of pants, 7 shirts, 6 ties, and 2 jackets. How many different outfits can the…

A: Since it is given that the A girl owns 6 pairs of pants, 7 shirts, 6 ties, and 2 jackets.

Q: If 12% of 240 million adult Americans live in poverty, how many adult Americans live in poverty

A:

Q: In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each floor. How…

A: Given In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each…

Q: To create and mix a salad, you have 14 different ingredients to choose from.  You will mix the…

A:

Q: How many people can be fed with 10 1/2 pizzas if each person is to get 3/8 of a pizza?

A:

Q: At a certain French restaurant, a multi-course meal is offered, where patrons can choose from…

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

A: Subtraction problem

Q: In a college archaeology class, 78 students are going to a dig site to find and study artifacts. The…

A: We will find how many sections will be studied by a group of 2 students as following.

Q: During the bird flu, if 40 hens and 30 chicks died each day, there would still be 212 hens when all…

A:

Q: Svetlana flipped a coin 24 times, and got heads more than twelve times as often as tails.  How many…

A: Given Data: The number of times a coin is flipped is: N=24 Let, The number of times got head is H…

Q: Charles has eight different winter scarves, and he wears three at a time. How many different ways…

A: Given that       Charles has eight different winter scarves and he wears three at a time  We have to…

Q: Radio stations that are on the east side of a nation have call letters consisting of a W followed by…

A:

Q: Four married couples have bought 8 seats in the same row for a concert. In how many different ways…

A: The number of ways to arrange r objects selected from n distinct objects is given by permutation.…

Q: The average age of 4 siblings is 12.5 years. If 3 of the siblings are 12-year-old triplets, how old…

A:

Q: Only 30% of teams beat The Great Escape Challenge. If 15 teams beat the challenge, how many teams…

A: It is given that 15 teams beat the challenge, which is the 30% of the teams that played The Great…

Q: How many Licence plates of two letters followed by three digits can be made if the letters and…

A: Total no. of letter from A-Z is =26Total no. of digits from 0-9=10

Q: How many license plates can be made using two letters followed by four digits (0-9), allowing…

A: From this given information, license plates can be made using two letters followed by four digits…

Q: Of 20 possible​ books, you plan to take 3 with you on vacation. How many different collections of…

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Q: A family has six children. If this family has exactly three boys​, how many different birth and…

A: From the provided information, Total children in a family = 6 The family has exactly 3 boys.

Q: 10. Members of the Wide Waters Club pay $105 per summer season, plus $9.50 each time they rent a…

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Q: You and 10 friends all have tickets for seats in the same row at a concert. How many different ways…

A: Please see the explanation below

Q: How many tarts does he have?

A: If he puts 5 tarts on each tray, he will have 1 tart left over i.e.  5x+1=y            ...... (1) If…

Q: there are six boys to every five girls in an introductory Chinese course if there are 407 students…

A: there are six boys to every five girls in an introductory Chinese course if there are 407 students…

Q: Radio stations that are on the west side of a nation have call letters consisting of a K followed by…

A: The first letter is fixed with Z and is then followed by 4 letter( repetition allowed) Then,

Q: A family with 9 members sit in a round table for dinner. How many ways can the member of the family…

A:

Q: A college team plays 8 basketball games during an intramural. In how many ways can the team end the…

A: Permutation of r objects from n objects is when, r number of objects are selected from the n objects…

Q: A state has license plates that consist of 2 letters followed by 3 numbers and each letter and…

A:

Q: How many children are there in a family wherein each girl has as many brothers as sisters, but each…

A: Let assume Number of sister = x Number of brother = y

Q: If Kevin shoots 50 baskets ever60 days, how many shots would Kevin take?

A: Given,         Kevin shoots 50 baskets every 60 days.

Q: A team plays 15 games a season. In how many ways can it have 8 wins and 7 losses?

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Q: A crew delivers 96 sandwiches,288 snacks,and 432 beverages to airplane before their flights. The…

A:

Q: How many ways can Carlos choose 2 pizza toppings from a menu of 20 toppings if each topping can only…

A: The number of pizza toppings chosen is 2 and the total number of toppings is 20.

Q: A medical student has to work in a hospital for five days in January.  However, he is not allowed to…

A: there are 31 days in January Out of 31 days , student has to work 5 days therefore the non working…

Q: A boy owns 3 pairs of pants, 1 shirts, 7 ties, and 5 jackets. How many different outfits can he wear…

A: Solution

Q: A phone number in the United States consists of 10 digits, 3 for a area code and 7 for the phone…

A: Given Data: The number of digits whole phone number consists of: 10 digits The number of digits the…

Q: Stock designations on an exchange are limited to 3 letters. How many different designations are…

A: To make stock designations on an exchange, there could be 3 letters. For the first place, it can…

Q: Three kids, Alberto, Bernadette, and Carlos, decide to share 10 cookies. They wonder how many ways…

A: Without the “no more than 5”  restriction, the answer would be 12 out of 2, using 10 stars and 2…

Q: In a school,there is an equal number of boys and girls. How many students could possibly be in the…

A: We have to find the possible number of students in class

Q: How many automobile license plates can be made if each plate contains two letter followed by 3…

A: Given: Number of digits in a license plate = 3 Number of letters in a license plate = 2

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 18 pieces. How many different…

A: Given :  A pianist plans to play 5 pieces at a recital from her repertoire of 18 pieces.  Use…

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 20 pieces. How many different…

A:

Q: A boy owns 1 pairs of pants, 2 shirts, 8 ties, and 6 jackets. How many different outfits can he wear…

A: Given that Number of pairs of pants a boy owns=1 Number of shirts=2 Number of ties=8 Number of…

Q: How many ways can 3 men and 4 women be seated on a bench if the women to be together?

A:

Q: When you get to college you will be assigned a new Student Identification Number. If this ID is 5…

A: The number of ways to select r objects out of n is given by the formula nCr=n!r!(n-r)!. Therefore,…

Q: How many different ways can a visiting nurse visit 10 patients if she wants to visit them all in one…

A: A visiting nurse can visit 10 patients in 10! ways in one day.

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.