. An ice cream store has 8 different flavors, 2 different types of cones, and 3 different toppings. How many different ways are there to make an ice cream cone?

Q: 4. Suppose Pat has eight shirts and four pairs of pants. How many different outfits can Pat make by…

A: Every shirt combines with every pair of pants to make an outfit.  Shirt 1 creates an unique outfit…

Q: 16) Coach Otis Campbell offered to buy hot dogs for players on his team. Of the 44 players: 6 wanted…

A: Given that: Total number of players = 446 wants all three condiments11 wants ketchup and relish10…

Q: How many different ways can a theatrical group select 2 musicals and 3 dramas from 11 musicals and 8…

A: Given,no.of musicals=11no.of dramas=8

Q: 6. A croissant shop has 7 types of croissants: plain, cherry, chocolate, almond, apple, cheese and…

A: (a) The shop has 7 types of croissants.So n = 7. To choose one dozen croissants, so r =…

Q: How many ways are there to stack an ice-cream come with 4 scoops if the choices are pistachio,…

A: The choices are pistachio, peach, cherry, walnut, peanut butter, and raspberry. That is 6. I scoop…

Q: Fifteen books are to be places in a shelf. The 15 books are composed of: 6 math books, 5 science…

A: Given,no.of math books=6no.of science books=5no.of english books=4Total no.of books=15

Q: Pizza House offers 2 different salads, 7 different kinds of pizza, and 4 different desserts. How…

A: Given :  Pizza House offers 2 different salads, 7 different kinds of pizza, and 4 different…

Q: 1. Given 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

A: Note: According to Bartleby guidelines expert solve only one question and rest can be reposted.

Q: 4. If your bag has 60 Smarties, and 30% of the Smarties are purple, how many purple Smarties do you…

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: How many ways can 7 students standing in a line be arranged John must be first in line and Chloe be…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: 20. The ski club with ten members is to choose three officers: captain, co-captain, and secretary.…

A: There are 10 members in the ski club. Three officers are to be chosen. Captain, co-captain, and…

Q: a) in how many ways can 6 numbered books be distributed over 4 identical shelves if shelves can be…

A: To distribute n things in k places, the formula is n+k-1k-1

Q: At a corporate dinner, five people including the president and vice president are sitting around a…

A: a) If 5 people sit on a circular table then the number of permutations will be 4!=24 b) If President…

Q: An ice cream store sells 2 ​drinks, in 3 ​sizes, and 7flavors. In how many ways can a customer…

A: Given, An ice cream store sells 2 ​drinks, in 3 ​sizes, and 7 flavors.  We have to find , in how…

Q: 2. Dylan, Andrew, Hailey, and Jordan ran in a race of 25 people. In how many different orders can…

A:

Q: 3) A crew is made up of 8 men; the rest are women. 66– % of the crew are men, How many people are,…

A:

Q: 1. Suppose Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. How many different outfits can…

A: Given: Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. The total different outfits Ivana…

Q: A baseball manager has 12 players on his team but only nine players can play on the field at one…

A: Given that the baseball manager has 12 players on his team but only nine players can play on the…

Q: How many different ways can Davis select 3 pieces of fruit from a group of 7 pieces of fruit?…

A:

Q: Pizza House offers 2 different salads, 5 different kinds of pizza, and 4 different desserts. How…

A:

Q: Answer the problem involving permutations and combinations. SHOW YOUR SOLUTION. 1.) In how many…

A: (1) No.of senators selected in a committee,r = 6 Total no.of senators,n = 12 The  no.of ways can…

Q: 50 people were surveyed about whether they like the ice cream flavors vanilla and 20 people liked…

A: Let the people who like vanilla be denoted by V and people who like strawberry be denoted by S.…

Q: In how many ways can a customer order a​ drink

A: From given data : An ice cream store sells:  3 ​drinks, in 4 ​sizes, and 4 flavors

Q: Pizza House offers 2 different salads, 5 different kinds of pizza, and 3 different desserts. How…

A: From the provided information, Pizza house offers 2 different salads, 5 different kinds of pizza and…

Q: 2. Af East Middle School, 28% of the students are in the band. If 168 students are in the band, then…

A:

Q: 1. How many white tiles will there be in pattern number 10? 2. How many grey tiles will be there is…

A:

Q: 8. In Mabini Elementary School, there are 4 teachers for every 235 students. If there are 1,880…

A: GIVEN: According to Bartleby's guidelines we can only solve one question. So, I am solving Q8.…

Q: How many ways can 2 students be selected from a group of 5 students if order does not matter?

A: Given information- We have given that we have given a group of 5 students. We have to select 2…

Q: For this problem, assume that 13 exhibits entered the science fair and that we want to assign 4…

A: From the provided information, Total exhibits = 13 Total prizes = 4

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: A school dance committee is made up of 4 freshman, 4 sophomores, 3 juniors, and 2 seniors. How many…

A: Given 4 freshman 4 sophomares3 juniors 2 seniorsstudents must fit together by gradeF1F2F3F4…

Q: How many ways can 3 rhinestone,5 crystal and 2 precious metals be arranged into a bracele

A: To find how many 3 rhinestone,5 crystal and 2 precious metals be arranged into a bracelet.

Q: 5 If you have a party for 70 people and your require 8 Ibs. of baby spinach for salads to feed them…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 2. In how many ways can 3 men and 4 women be seated on a bench if the women must be seated together?

A: Note: Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: How many ways are there to stack an ice-cream cone with 4 scoops if the choices are a. vanilla,…

A: To find the ways

Q: How many outfit combinations can be put together from 8 shirts, 4 pairs of pants, and 2 pairs of…

A:

Q: - Kevin divided his marbles equally into 2 bags, Bag A and Bag B. In Bag A, there were 30 more red…

A: This question is related to numbers, ratio and proportion, we will solve it by using the conditions…

Q: (i) How many ways are there to seat five different boys and five different girls along one side of a…

A: There are 10 seats in total. There are 5 boys and 5 girls to be seated. There is no restriction on…

Q: In how many ways can you choose 3 kinds of ice cream and 2 toppings from a dessert buffet with 10…

A: Given that there are 10 kinds of ice cream and  6 kinds of toppings. We can choose 3 kinds of ice…

Q: How many ways are there to stack an ice-cream cone with 4 scoops if the choices are a. cookie dough,…

A: To calculate the total number of ways to take an ice-cream cone with 4 scoops if the choices are…

Q: A school committee needs 2 more students. How many ways can the committee be selected from a group…

A: Given Data: The total number of students in the group is: n=10 The number of students required is:…

Q: 14. If there are 31 flavors of ice cream How many different ways can you choose 2 scoops if you can…

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

Q: Your professor has 10 advanced statistics texts and 8 advanced calculus texts. (a) How many ways can…

A:

Q: In a group of 100 persons, 72 people can speak English and 43 can speak French. How many can speak…

A: In a group of 100 persons, 72 people can speak English and 43 can speak French. How many can speak…

Q: Three boys have the same number of blue toy cars. 1 of Nelson's toy cars and 4 4 of Ted's toy cars…

A: First we will form the equation according to the given statements then solving the equations will…

Q: (i) How many ways are there to seat five different boys and five different girls along one side of a…

A: (i)

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: How many ways are there to stack an​ ice-cream cone with 4 scoops if the choices are   a.…

A: For flavours must be different then once used flavour can't be used next time. So in first stack we…

Q: 2. Forty students in a class took a Mathematics test. If 80% of the students passed the test, how…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

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!

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.