Answered: A box of colored crayons contains 15…

A box of colored crayons contains 15 distinct colors. In how many ways can 4 colors be chosen, assuming that the order of the colors chosen doesn't matter?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 8ECP: In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The...

See similar textbooks

Related questions

Q: Suppose we want to choose 5 colors, without replacement, from 14 colors. a) how many ways can this…

Q: A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector choose…

Q: During a birthday party, how many ways can five guests, both parents, and the birthday celebrant be…

A: Follow the steps.

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 different photographs are possible if four children sit in the front row and five adults…

A: The objective of this question is to find out the total number of different photographs possible…

Q: Suppose we want to choose 2 colors, without replacement, from the 4 colors red, blue, green, and…

A: Given No. of colors = 4 ( i.e, Red, Blue , Green & Purple)a) Arrangement of elements in a…

Q: Suppose we want to choose 4 colors, without replacement, from 18 distinct colors. How many ways…

A: From the provided information, Total distinct colors = 18 Number of colors to be chosen = 4 If the…

Q: In a bag containing 5 white balls and 6 black balls, how many ways can we draw a white or a black…

Q: A particular brand of shirt comes in 8 colors, has a version with a pocket and one without, and…

A: The shirts can be any of the 8 colors.

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 we want to choose 2 letters, without replacement, from the three letters A, B, C. How many…

A: There is a total of 3 letters A, B, and C. We want to pick 2 letters without replacement. If the…

Q: Suppose there are 100 cans of green beans in a grocery store, and 75 of these are "Best Deal" brand…

A: There are 100 cans of green beans in grocery store. And 75 cans of these are "Best Deal" brand green…

Q: Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D. How…

Q: A class has 18 boys and 13 girls as students.

A: Given data: The total number of boys in the class is: B=18. The total number of girls in the…

Q: In how many ways can one black America and one Latino be selected from 15 black Americans and 6…

A: In order to get the result we have to calculate total no.of permutation.

Q: real estate company has 20 houses listed for sale by their clients. In how many ways can 4 of the 20…

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 6 card hands can be dealt from a deck of 52 cards? The order of the cards does…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: Find the number of different ways to draw a 5-card hand from a standard deck (four suits with 13…

A: Note: There are only two colors in the deck, so we will determine different ways to draw a 5-card…

Q: How many different selections of three books can be made from a set of fifteen books?

A: Introduction:According to the permutation rule, if r distinct items are to be chosen from n items…

Q: You have one pile of 11 building blocks, each one a different color, and you also have another pile…

A: Since the color at each level of the tower matter, we will use permutations to find the possible…

Q: A bride is choosing a dress for her bridesmaids. If there are 5 styles, 2 colors, and 7 fabrics, in…

A: There are 5 styles, 2 colors, and 7 fabrics.

Q: For a Halloween party, each guest can choose from the 6 different kinds of candy to have in a prize…

A: Given,no.of different kinds of candy=8

Q: You are burning a CD for your assignments. You have assignments of 15 different However, you want to…

A: Determine the number of orders that can be put 7 of the 15 assignments onto the CD. The number of…

Q: how many three colors flag can you make with the colors white, red and blue.

A: Given: Three colors are given: white,red and blue

Q: Suppose we want to choose 3 colors, without replacement, from the 4 colors red, blue, green,…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements (order…

Q: if 8 different colored beads are made into a necklace, how many necklaces can be produced having…

Q: In a group of 50 students, 25 are taking Math, 20 are taking Science, and 10 are taking both Math…

A: Number of students in total = 50Number of students taking Math = 25Number of students taking Science…

Q: A license plate is to consist of two letters followed by four digits. Find the number of license…

A: Given,no.of letters=26 (A to Z)no.of digits=10 (0 to 9)

Q: If there are 9 apples and my sister ate 3, how many apples are left?

Concept explainers

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.

Question

100%

A box of colored crayons contains 15 distinct colors. In how many ways can 4 colors be chosen, assuming that the order of the colors chosen doesn't matter?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Fundamental Counting Principle$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The order of the two letters is not important.)
Alice and Bill have four grandchild, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?
How many different signals can be sent, when three flags are used, if two of the 9 flags are missing?
Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?
How many ways can a baseball coach arrange the order of 9 batters if there are 15 players on the team?
At Rosemont High School, 14 players are on the varsity basketball team, 35 players are on the varsity football team, and 7 of these players are on both teams. How many different individual players are on the two varsity teams?
If a man has 4 sweaters and 5 pairs of slacks, how many different outfit can he wear?
Over the past year, John has purchased 30 books. In how many ways can he pick four of these books and arrange them, in order, on his nightstand bookshelf? In how many ways can he choose four of these books to take with him on his vacation at the shore?
In three-card poker, a hand consists of three cards dealt from a deck of 52. How many different three-card poker hands are possible? (Order is not important.)
How many ways can a committee of 3 freshmen and 4 juniors be formed from a group of 8 freshmen and 11 juniors?
In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in the exact order (1 St place, 2nd place, and 3rd place). How many different trifectas are possible if there are 14 horses in a race?
How many unique ways can a string of Christmas lights be arranged from 9 red, 10 green, 6 white, and 12 gold color bulbs?