How many ways are there to stack an​ ice-cream cone with 4 scoops if the choices are   a. peppermint comma butterscotch comma peach comma and pistachiopeppermint, butterscotch, peach, and pistachio and each scoop must be​ different? b. peppermint comma butterscotch comma peach comma and pistachiopeppermint, butterscotch, peach, and pistachio and there are no restrictions on different​ flavors?

Q: how many different ways can the five letters a,b,c,d & e be arranged?

A: Formula :

Q: How many ways can 3 teachers and 4 veterinarians be seated on a bench with the teachers seated…

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

Q: In how many ways can 6 differently shaped blocks be taken to arrange in a cabinet with 4 empty…

A:

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: There are 10 boys and 6 giris. How many ways are there of forming a group of either 3 boys or…

A: We have given that  There are 10 boys and 6 girls. Total number of girls and boys = 16   Combination…

Q: How many ways are there to distribute 9 cookies to 4 children.

A: Solution:

Q: In how many ways can a person order one ice cream cone with 3 different flavors of ice cream if…

A:

Q: I bought a bunch of gumdrops, jellybeans, and mints. Each were in yellow, blue, and white. I bought…

A: There were total of   after sometime the number of candies were as follows   Gumdrops  Jelly…

Q: At the bakery, a box of cookies is made by selecting four cookies from the six types of cookies –…

A: Formula nr = n!r!(n-r)! ; n ! = 1* 2* 3* 4*.. *n   Example : 3! = 1*2*3 = 6   Meaning : Number of…

Q: Mark is working at a manufacturing company of cars and he is tasked to assemble a car. He has the…

A: Given that  Mark is working at a manufacturing company of cars and he is tasked to assemble a car.…

Q: The number of arrangements of the letters of the word WASHINGTON, if the ASH must be together in any…

A: In this question we have to find Arrangement of word WASHINGTON and ASH always comes together.

Q: How many different committees consisting of 3 men and 2 Jadies each can be for 3. from a group of 6…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: How many different arrangements can be made using all the letters in VANCOUVER?

A: There are total 9 letters in the word VANCOUVER. Letter Frequency V 2 A 1 N 1 C 1 O 1…

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: In how many ways can a committee of 6 members be formed from a group of 12 people consisting of 5…

A:

Q: How many different choices of car do you have if a particular model comes in 12 colors and 4 styles…

A: Total car = number of deferent colour x no of style.

Q: Sam is going to assemble a computer by himself. He has the choice of chips from two brands, a hard…

A:

Q: (A) How many ways can a 3-person subcommittee be selected from a committee of 9 people? (B) How many…

A:

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: A clown owns 8 hat(s), 7 horn(s), 6 oufits. How many different outfits can the clown put together if…

A: Solution

Q: How many ways can a softball coach fill in the first, second, and third names in a batting lineup if…

A:

Q: 1. How many students like either Realistic Fiction, Mystery or both? 2. How many children like all 3…

A: Hi, Thank you for the Question. Since you have posted multiple questions we will answer the first…

Q: How many ways can the positions of president and vice president be assigned from a group of 8…

A: There are two positions (i) President (ii) Vice president One person can hold only one position. So,…

Q: How many ways 4 people out of 20 can be sited on a bench for 4 persons?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: In How many possible ways can you arrange 5 kilos of rambutan, 2 kilos of lanzones, 4 kilos of…

A: Given data is : How many possible ways can you arrange 5 kilos of Rambutan, 2 kilos of Lanzones, 4…

Q: An ice cream shop offers 10 flavors of ice cream. How many ways are there to choose 3 flavors for a…

A: We have to find given probability..

Q: How many blocks are needed to build an​ up-down-up staircase with 5 steps up and 5 steps​ down?

A: To solve the given problem

Q: How many choices are there for a person to check out 4 CDs from a library that has 20 CDs of his…

A: Given : n = 20 x = 4

Q: (a) How many ways are there to select a handful of 6 jellybeans from a jar that contains 5 different…

A: The solutions are given below

Q: How many ways can you arrange OCONTO  if N and T aren't side-by-side?

A: Here given, Word  OCONTO   There are total 6 letters and 3 times O repeated

Q: There are nine boys to every seven girls in an introductory class geology course . If there are 368…

A: Simplification

Q: To manufacture a vehicle, four tires and one steering wheel are required. How many cars can be…

A: We will find the number of vehicles to be manufactured.

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: 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: an ice cream store sells 4 drinks, in 3 sizes, and 8 flavors. In how many ways can a customer order…

A: Ice cream stored has, 4 drinks Each of 3 different sizes and each of 8 different flavours. To find,…

Q: How many ways are there to choose a presiden ,vice president, secretary, treasurer, and security…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: A high school club consists of 5 freshmen, 5 sophomores, 4 juniors, and 6 seniors. a. How many ways…

A: As per our policy we can solve only 3 sub parts per question in a post. Kindly repost for remaining…

Q: How many ways can a dinner patron select 3 appetizers and 2 vegetables if there are 6 appetizers and…

A: Total number of available appetizers = 6Number of appetizers to be selected = 3Total number of…

Q: A young boy asks his mother to get 5 game-boy cartridges from his collection of 15 arcade and 9…

A:

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: How many different choices can be made from 5 red beads, 4 gold beads and 8 blue beads if at least…

A: As per our guidelines we are supposed to answer only one question per post so i am solving first…

Q: Three hungry pirates, Ahab, Bluebeard, and Hook, were stranded on a desert island. They came upon a…

A: Here we solve the problem by algebra.

Q: Suppose we want to choose 2 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A:

Q: 16/Lilah is allowed to take exactly three pieces of fruit from a bowl of 3 oranges, 4 ap 5 bananas.…

A: As per guidelines we will solve the first question only, please repost other questions for more…

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: 2. The view of Sampaloc Lake is a very nice background to take pictures of. How many ways can 5…

A: Find the number of ways of arrangement

Q: How many ways are there to seat 6 different boys and 6 different girls along one side of a long…

A: Given that, there are 12 persons and 12 seats. 12 persons includes 6 boys and 6 girls. Therefore,…

Q: A high school club consists of 5 freshmen, 5 sophomores, 4 juniors, and 6 seniors. a. How many ways…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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.