How many different ways can a visiting nurse visit 10 patients if she wants to visit them all in one day?

Q: How many 5-digit numbers can you make using the digits 1-8 if repetition is allowed?

A:

Q: How many ways can 2 students be selected from a group of 5 students if order matters?

A: Solution-: We find number of ways 2 students be selected from a group of 5 students if order…

Q: There are nine different marbles in a bag. A student reaches in and randomly draws one marble at a…

A: Given there are nine different marbles in a bag. A student reaches in and randomly draws one marble…

Q: How many ways can we pair up 24 dogs with 24 cats for example one dog to one cat?

A: We have to pair 24 dogs with 24 cats

Q: How many ways can you arrange 6 of 11 different books on a shelf?

A:

Q: a family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…

A: The number of ways of selecting 2 cats from 12 cats is,

Q: How many ways can 12 students standing in a line be arranged if John must be first in line?

A:

Q: How many ways can 5 horses come in first, second, and third place in a horse racing competition?

A: How many ways can 5 horses come in first, second, and third place in a horse racing competition:…

Q: How many ways can 6 ladies be seated in a circular table such that 2 of the ladies must always sit…

A: To find: The number of ways to arrange 6 ladies in a circular table such that 2 of the ladies must…

Q: In how many ways can two admirals, three generals, and four lieutenants can be seated in a row of…

A: Given that In how many ways can two admirals, three generals, and four lieutenants can be seated in…

Q: How many ways can a cricket team of 4 bowlers and 7 batsmen be formed from a group of 8 bowlers and…

A: GIVEN DATA : There are 8 bowlers and 11 batsmen       TO FIND : Number of ways a cricket team formed…

Q: The average age of a group of students is 12 years old. There are only 11-year- olds and 14-year…

A:

Q: A class of 20 students is divided into 5 teams of 4 students each. How many ways are there to divide…

A: Number of ways in which n students can be divided into k groups of h students is given by,

Q: How many different ways can 5 calculators be arranged in the cabinet from a group of 15?

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: In how many ways can 9 gifts be divided between 4 children if the eldest child is to receive 3 gifts…

A:

Q: A bag contains 5 apples and 3 oranges. If you select 4 pieces of fruit without looking, how many…

A:

Q: How many ways can Marie choose 22 pizza toppings from a menu of 66 toppings if each topping can only…

A: Note: Thank you for the question. The question is considered as choosing 2 pizza toppings from a…

Q: How many ways can 120 unique packages be loaded into 10 delivery trucks where each truck must have…

A: 120 distinct packages have to be distributed equally among the 10 trucks.

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: You have 5 Math books, 2 History books, and 4 Science books. How many ways are there to arrange the…

A: If there are n number of distinct objects out of which r objects are selected and then arranged then…

Q: In how many ways can you place 9 different books on a shelf if there is space enough for only 5…

A: Given, 9 different books on a shelf and there is space only for 5 books.

Q: How many ways can all the letters in the word EDUCATION can be arranged if all the vowels are right…

A:

Q: how many ways can you arrange 23 books on a shelf that can only hold 7 books?

A:

Q: Three married couples have bought 6 seats in a row for a concert. In how many ways can they be…

A: The number of arrangement in a row is n!.

Q: In how many ways can 7 people be seated on a sofa if it can only accommodate 5 people?

A:

Q: A parent brings 4 children to a movie and the family sits in a row of 5 seats. How many ways can…

A: There are total 5 members to sit. 4 of them are children and one parent. The parent sit on one one.…

Q: Suppose Allan is going to build a playlist that contains 12 songs. In how many ways can Allan…

A:

Q: If I have 9 flower pots and 11 different flowers how many different ways can flowers be in each pot?

A: 11C9 ways. that is in 55 way.

Q: How many 4-digit numbers can you make using the digits 1-5 if repetition is allowed? *

A: We have to find the number of 4-digit numbers that can be formed using the digits 1,2,3,4,5.The…

Q: How many ways are there to choose a dozen donuts from 18 varieties if there are only two varieties…

A:

Q: How many different ways can a visiting nurse visit  9  patients if she wants to visit them all in…

A: number of patients n=9   Different number of ways that n different items can be arranged is n!…

Q: How many Ways can 5 Pants, 5 Shirts and 2 Belt combination can be worn?

A: How many Ways can 5 Pants, 5 Shirts and 2 Belt combination can be worn?

Q: How many 5-digit numbers can you make using the digits 1-8 if repetition is allowed? *

A: Introduction: It is required to find the number of possible 5-digit numbers that can be made using…

Q: In how many ways can 7 women and 7 men partner up for ballroom dancing, if each person has to dance…

A: The number of ways to select r objects from n objects is computed by using the formula of…

Q: Customer account "numbers" for a certain company consist of 4 letters followed by 4 numbers. How…

A: There are 26 alphabet and the Digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. The number of different…

Q: A musician knows 10 songs is only going to play 4 of them at a concert. In how many different ways…

A: A musician knows 10 songs is only going to play 4 of them at a concert.  In how many different ways…

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: How many ways can 120 identical packages be loaded into 10 delivery trucks where some trucks may…

A: To determine :  How many ways can 120 identical packages be loaded into 10 delivery trucks where…

Q: How many ways can 7 people fall in line if 2 persons doesn’t want to be seated next to each other?

A:

Q: How many different license plates are possible if 2 uppercase letters are followed by 4 digits and…

A: A number plate consist of 2 uppercase letters followed by 4 digits, in which first digit cannot be…

Q: Find the number of different ways a grade A, B, C or D can be assigned to three students of a class…

A: Suppose we have three students x , y and z Now  x has 4 grade options y has 3( As one is already…

Q: Suppose an outfit consists of a shirt, pants, and shoes. If you have 4 shirts, 7 pairs of pants and…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: how many ways can a group of 4 boys be selected from 9 boys?

A: We have to select 4 boys from 9 boys

Q: In how many ways can two admirals, three generals, and four lieutenants can be seated in a row of…

A:

Q: I have nine books and have room to display only four of them at a time on my bookself. how many…

A:

Q: How many license plates are possible consisting of 4 letters followed by 3 digits if the first…

A: The license plate consists of 4 letters followed by 3 digits. Thus, it has 7 places to fill up.…

Q: 2. In a certain country, license plate numbers have 3 letters followed by 3 digits. How many…

A: here use counting principle  for combination  nr = n!(n- r)! r!

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

A:

Q: As a television executive, you have been given 8 shows to choose from to run during your prime time…

A: Total number of shows available = 8 Available time slot = 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.