Suppose we want to choose 4 letters, without replacement, from 18 distinct letters. (a) How many ways can this be done, if the order of the choices does not matter? (b) How many ways can this be done, if the order of the choices matters?

Suppose we want to choose 4 letters, without replacement, from 18 distinct letters. (a) How many ways can this be done, if the order of the choices does not matter? (b) How many ways can this be done, if the order of the choices matters?

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: Ten pirates find a sack of gold coins. When they try to divide up the gold (with equal shares for…

Q: Suppose we want to choose 5 letters, without replacement, from 15 distinct letters. (a) How many…

A: Solution-: Here, n=15,r=5 We want to choose 5 letter, without replacement from 15 distinct letter.…

Q: Suppose we want to choose 5 letters, without replacement, from 14 distinct letters. (a) If the…

A: To find : If the order of the choices matters, how many ways can this be done?

Q: Suppose we want to choose 6 letters, without replacement, from 8 distinct letters. (a) How many…

A: Number of choosen letters (r) = 6 Total number of letters (n) = 8 Consider a situation where r…

Q: You can answer any 19 questions from the 21 questions on an exam. In how many different ways can you…

A: Here it is given that the order is of no importance, we will use the combination rule here where we…

Q: |(a) How many ways can this be done, if the order of the choices matters? (b) How many ways can this…

A: Letters - A,B,C n= 3 r = 2

Q: In how many different ways can the director of a research laboratory choose two chemical engineers…

Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is There are Two grade 11 and two grade 10 students There are also 60…

Q: How many ways are there to select three diamond earrings from a box of ten diamond earrings,…

A: Total diamond earrings = 10 We have to select three diamond earrings from a box. Order does not…

Q: Suppose we want to choose 5 letters, without replacement, from 17 distinct letters. (a) How many…

A: Solution:In this problem we want to choose letters, without replacement, from distinct letters.(a)…

Q: In the local boating pond there are 11 plain wooden boats, each with a different number. The owner…

Q: There are four oranges, five pineapples, and t juice using only two fruits of different types. make…

A: Given: Number of oranges = 4 Number of pineapples = 5 Number of mangoes = 3 Total number of fruits =…

Q: The model of the car you are thinking of buying is available in three different colors and two…

A: Lets understand it very basic way. Lets say 3 different colors be R, B, G and two different styles…

Q: If there are 9 people and only 4 chairs are available , which of the following is the correct…

Q: Suppose we want to choose 5 letters, without replacement, from 18 distinct letters. (a) How many…

A: (a) Determine the number of ways that the 5 letters can be selected from 18 distinct letters…

Q: The model of the car you are thinking of buying is available in seven different colors and four…

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

A: It is given that there 4 colors red,blue,green and purple. and we need to choose 3 colors without…

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

Q: How many different ways can 5 out of 8 different shirts, 4 out of 10 different pairs of pants, and 3…

A: We have given that, Shirts = 8 , pairs of pants = 10 and pairs of socks = 6

Q: How many different ways can the letters of "jogging" be arranged? The number of different ways that…

A: The word “jogging” contains a total of 7 letters in which “g” letter is repeated 3 times.

Q: In how many ways can 8 people sit around a round table if two particular people must sit next to…

A: Given Number of people =8 We want to find how many ways to 8 people sit around round table if two…

Q: An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat cars. For the box…

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

Q: Bob owns 13 different books. He wants to pick out and arrange 5 of these books left-to-right on a…

Q: 1. A student found 8 Mathematics books in the library. The library rules permit him to check out…

Q: How many unique ways can the letters for M-A-X-I-M-U-M be arranged?

A: To find the number of ways that the letters can be arranged.

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: Bob owns 15 different books. He wants to pick out and arrange 4 of these books left-to-right on a…

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

Q: From a group of 13 people how many ways we can select a (a) 3 Supervisor (b) 7 Technicians…

A: Given: Total number of people, n=13 It is known that the formula to find different combinations is,…

Q: . How many different ways are there of handing out the prizes if (a) the prizes are all the same?…

A: A kindergarten class has 18 children. FIve of the children are selected to receive prizes. Here use…

Question

Suppose we want to choose 4 letters, without replacement, from 18 distinct letters.

(a)	How many ways can this be done, if the order of the choices does not matter?

(b)	How many ways can this be done, if the order of the choices matters?

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: Permutation and combination :

Step 2: Part a )

Step 3: Part b )

Solution

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

In how many ways 7 boys and 6 girls can be arranged on a bench if Anne and Jim sit together?
In the local boating pond there are 10 plain wooden boats, each with a different number. The owner decides that some of these boats will be painted: one in blue, one in green, one in red, and one in orange, and the remaining ones left unpainted. How many ways are there to paint the boats? The number of ways is
In how many ways can we choose 5 students from 7 boys and 5 girls?
How many different words can be formed from the letters of the following words:(a) “solar”.(b) How many 3 letter words can be formed from the letter of the word “pencil”?(c) How many of the words from (b) contain the letter “l”?
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?
Sunwoo’s closet contains 15 different styles of jacket. In how many ways can New pick out four different styles of jacket for Sunwoo for the summercamp next week if he cares about which day of the week he’d wear each style?
A basket contains 2 pink, 3 yellow, 8 red, and 1 black jelly beans. You grab a handful of 4 jelly beans. (a) How many groups of 4 jelly beans include exactly 1 of each color? (b) How many groups of 4 jelly beans include at most 1 yellow?