Suppose we went to choose 2 colors, without replacement, from the 4 colors red, blue, green, and purple. how many ways can this be done, if the order of the choices is taken into consideration? how many ways can this be done, if the order of the choices is not taken into consideration?

Suppose we went to choose 2 colors, without replacement, from the 4 colors red, blue, green, and purple. how many ways can this be done, if the order of the choices is taken into consideration? how many ways can this be done, if the order of the choices is not taken into consideration?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: A shop sells roses in 3 colours (red, white, yellow) and orchids in 4 colours (white, purple, blue,…

Q: A group of 5 students is to be chosen from a 30 student classroom. How many ways can this be done?

A: Note that here we have to select a group of 5 students from a 30 student classroom.

Q: In how many ways can 3 boys and 3 girls sit in a circular table if the boys and girls must…

A: In how many ways can 3 boys and 3 girls in a circular table if the boys and girls must alternate ?

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: In an art gallery there are 10 paintings to be hung on a wall, but 5 of which must be hung in a row.…

A: There are 10 paintings in an art gallery. Of which 5 paintings must be hung in a row.

Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

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: There are 5 grade 12s, 4 grade 11s, 3 grade 10s, 2 grade 9s. How many ways can a president, vice…

A: Solution

Q: teacher prepares 12 assignments for her 3 students. How many different ways can the assignments be…

A: GIVEN DATA,A TEACHER PREPARES 12 ASSIMENTS FOR 3 STUDENTS WE HAVE TO FIND OUT THE NO OF WAYS CAN…

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: How many ways can three people be selected from a group of seven people if order DOES matter

A: Given that, Total number of peoples = 7

Q: How many different committees can be formed from 9 teachers and 33 students if the committee…

Q: Baseball teams have an active roster of 25 players, but only 9 players play in the field at once. Of…

A: The given data is as follows:The objective is to compute the number of ways in which one can choose…

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: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: The math club has seven members and will choose a team of three to send to a competition. The…

A: Given that the math club has 7 members and will choose a team of 3 to send to a competition. The…

Q: A card deck consists of 9 fire Pokemons and 11 ice Pokemons. How many ways can 7 cards be chosen…

A: The objective of the question is to find the number of ways to choose 7 cards from a deck of 20…

Q: You are ordering an extra large pizza with multiple toppings on it. In how many ways can 6 different…

Q: A bride is choosing a dress for her bridesmaids. If there are 3 styles, 5 colors, and 4 fabrics, in…

A: Given: Styles = 3 Colors = 5 Fabrics = 4 The number of ways that she can select the bridesmaids…

Q: Alex wants to choose 12 cookies to eat from a package. There are 7 different varieties of cookies to…

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

Q: Suppose, you have 3 different caps, 4 different shirts, 3 different pants and 3 pairs of socks and 2…

A: Depends on given data total outfits 3x4x3x3x2= 216 No need to wear socks and caps So total ways…

Q: You have 7 adult emus and 6 juvenile emus. How many ways are there to choose a group of emus so…

A: no.of adult emus=7no.of juveniles emus=6

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

Q: Natasha is in a class of 30 students that selects 4 leaders. How many ways are there to select the 4…

A: Given that Natasha is in a class of 30 students that selects 4 leaders. To find Number of ways are…

Q: A sock drawer contains 3 black socks, 4 blue socks, and 7 brown socks. If you pick socks from the…

A: Since you have posted a multiple question ,I will solve the first question for you. To get…

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: In a bag, there are 6 purple and 12 green marbles. If you reach in and randomly choose 5 marbles,…

A: Given, there are 6 purple and 12 green marbles in a bag To find the number of ways to choose exactly…

Q: In how many ways can this be done?

A: A catering service offers 3 appetizers, 7 main courses, and 5 desserts. A customer is to select 2…

Q: There are 3 apples, 5 pears and 4 oranges in a basket. If a waiter were to line up these fruits side…

A: There are 3 apples, 5 pears and 4 oranges in a basket. Total fruits = 3+5+4 = 12 n distinct objects…

Q: s can this be done, if the order of the choices is taken into s can this be done, if the order of…

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

Q: A catering service offers 6 appetizers, 10 main courses, and 4 desserts. A customer is to select 2…

A: Given : A catering service offers 6 appetizers, 10 main courses, and 4 desserts. A customer is to…

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: You have 5 adult emus and 6 juvenile emus. How many ways are there to choose a group of emus so…

Q: A student must take 4 electives from a set of 10 electives. How many ways can the student choose the…

A: Solution-: Given: n=10, r=4 We want to find how many ways can the student choose the electives.

Question

Suppose we went to choose 2 colors, without replacement, from the 4 colors red, blue, green, and purple.
how many ways can this be done, if the order of the choices is taken into consideration?

how many ways can this be done, if the order of the choices is not taken into consideration?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A box contains 47 stalks of flowers of which 20 are tulips, 15 roses and the rest are marigolds. How many ways to choose three flowers if i. they are all of different type. ii. they are all of the same type.
A pizza restaurant is offering a promotion in which you can order a large pizza and your choice of a side or a bottle of soda (but not both a side and a bottle of soda). There are 5 pizza choices, 7 sides, and 11 kinds of soda. How many options are there with this promotion?
In a class with 10 boys and 8 girls, 5 girls and 4 boys will be chosen. how many ways can the students be chosen?
In a bag, there are 11 purple and 7 green marbles. If you reach in and randomly choose 4 marbles, without replacement, in how many ways can you choose exactly one purple? nothing ways
Suppose we want to choose 3 colors, without replacement, from the 4 colors red, blue, green, and purple. How many ways can this be done, if the order of the choices does not matter? How many ways can this be done, if the order of the choices does matter?
A certain car dealership sells two models of cars: Model S and Model V. Model S comes in 8 different colors and has 4 types of wheels available. Model V comes in 4 different colors and has 2 types of wheels available. How many different ways could you choose a single car from this dealership?
Suppose you choose 3 cards from a standard 52-card deck. How many different choices are possible if all three cards must be of the same denomination? at least 2 cards must be of the same denomination? each card must be of a different denomination?
Two freshmen and three sophomores from a sorority will attend a conference. If the sorority has 12 freshmen and 15 sophomores, in how many different ways can the conference attendees be selected?