Answered: a)Bob has 5 homework assignments, but…

a)Bob has 5 homework assignments, but has time to do only 3 of them. In how many ways can Bob choose 3 homework assignments?

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: In how many ways can 8 boys and 7 girls be arranged on a bench if: a. boys and girls are in…

A: There are : 8 boys and 7 girls We will use the principle of permutation and combination here The…

Q: How many six-person volleyball teams be made from a group of six men and three women if: a. If two…

Q: a) How many 3-digit numbers that are multiples of 5 can be formed from the six digits 2,3,5,6,7 and…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY HERE USE SELECTION THEORY

Q: A club has seven members. Three are to be chosen to go as a group to a national meeting. If the club…

Q: by three digits. The letters A, B, C, and D and the digits 6 and 9 will not be used. So, there are…

Q: Aisha, DarnellI, Maura, and Isaiah have been invited to a dinner party. If they each drive there…

A: Given data

Q: if we have a deck of cards and deal out all of the cards: if two people are playing, one card will…

Q: 3) Mr. Rodriguez needs to select 9 players for his basketball team. There are 20 available players .…

A: Given Total players = 20 We need to select 9 out of 20.

Q: (a) by any door, (b) by different door?

A: Here use combination for no of ways person can leave and enter from desk

Q: A local city council is composed of two Democrats and three Republicans. In how many ways may they…

A: Answer: a. 120 waysb. 24 ways Explanation:a. Since order doesn't matter, we will use the…

Q: There are 42 runners in a race. How many ways can the runners finish first, second, and third? There…

A: there are 42 runners in a rece we have to find out the no. of ways can finish first, second and…

Q: restaurant offers a special pizza with any 4 toppings. If the restaurant has 18 topping from which…

A: restaurant offers special pizza with any 4 toppings out of 18 toppings. no. of different special…

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

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given information: Total number of dogs(D)=3. The number ways can 3 dogs arranged is 3!. Total…

Q: From the official website of a major league baseball team, it is found that there were seven active…

A: seven active player in a team to play outfield position. there are three outfield positions. no. of…

Q: John is one of twelve members of the Math Honor Society at his school. A delegation of four members…

A: John is one of twelve members of the Math Honor Society at his school. A delegation of four members…

Q: Mr. Arboreta wants to plant fruit trees in a rectangular array. For each of the following numbers…

A: A number of objects or elements arranged in a row and Column is called a rectangular Array. In that…

Q: in how many ways can a hand of 5 cards be dealt such that 2 are black and 3 red cards?

A: Given: There are 52 cards on the deck. There are 26 red and 26 black cards on the deck. Formula…

Q: any work. a. At a pet store there are 38 bubble-eye goldfish. In how many ways can you choose 4 of…

Q: A computer programming team has 13 members. Suppose seven team members are women and six are men.…

Q: A computer programming team has twelve members. Suppose five team members are women and seven are…

A: We find the number of groups of five that can be chosen with three women and two men from a team of…

Q: License plates in Oklahoma are of the form A BC123 4, where the first three spaces on the plate can…

Q: A club N with four members is shown below. N = {Aaron, Brad, Cindy, Dennis), abbreviated as N = {A,…

A: .

Q: A pizza parlor offers 14 toppings. a. How many 4-topping pizzas could they put on their menu? Assume…

Q: A burger chain wants to send codes for a free small drink to the members of its kids club. The…

A: The objective of this question is to calculate the total number of possible coupon codes that can be…

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

Q: A bag contains three red marbles, one green one, one lavender one, three yellows, and three orange…

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

Q: A computer programming team has 13 members. Suppose seven team members are women and six are men.…

A: Solution: From the given information, the programming team has 13 members. Among them 7 are women…

Question

Answer the following questions. Give justifications and explanations
when needed.

a)Bob has 5 homework assignments, but has time to do only 3 of them. In how many ways can Bob
choose 3 homework assignments?
b) Show that if 6 integers are chosen at random, at least two numbers will have the same remainder
when divided by 5. Use pigeonhole principle.
c) How many unordered selections of three elements can be made from the set {a, b, c, d, e, f}?

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 1q

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A newly established company needs to have a committee that consists of one accountant, two marketing agents, and four board members. If there are four accountants, three marketing agents, and eight board members available for selection in the committee, in how many ways can the committee be formed? /3APP B
If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many possible ways can at least 2 of the marbles picked are red? O 1176 1 050 1 638 O 1 568
A class has 32 students. In how many different ways can six students form a group for an activity? (Assume the order of the students is not important.) There are different ways that the six students can form a group for an activity. (Type a whole number.)
a) Dave is choosing classes. He can choose from 4 different math classes, 3 different writing classes, and 7 different humanities classes. He needs to pick one of each of math, writing, and humanities. How many different schedules can Dave make? b) Dave goes to the squirrel farm to buy 6 squirrels. There are 19 different squirrels to pick from. How many ways can Dave choose the 6 he buys?
A bookshelf contains ten books, of which some are indistinct. In fact, five of the books are identical calculus textbooks, while three of them are identical stats books. The other two books are identical trig books. How many distinguishable arrangements of these ten books is possible?
A bowl contains 7 red balls, 5 white balls, and 3 green balls. In how many ways can 3 balls be drawn such that: a. they are all red? b. there is one of each color? Answer: c. at least 2 are green? Answer:
Determine the "n" and "p" in the following problems and write them in Combination notation. a)Abag contains 4 white balls, 6 yellow balls, and 5 red balls. In how many ways can 6 balls be chosen if there must be 2 balls of each color? b) If 4 marbles are picked randomly from a basket containing 5 blue marbles and 8 yellow marbles, in how many ways can it happen that at least 3 of the marbles picked are blue? c)There are 7 men and 9 women members of a club. How many committees of 4 can be formed having at most 3 men?
A student cafeteria offers the following special. For a certain price, we can have our choice of one out of four salads, one out of five main courses, and something for dessert. For dessert, we can either choose one out of five sundaes, or we can choose one of four gourmet coffees and, no matter which gourmet coffee we choose, one out of two cookies. How many different meals can a customer buying this special have? of Format BIU 12:31 PM 86°F Mostly cloudy 8/25/2021
A burger chain wants to send codes for a free small drink to the members of its kids club. The coupon code will have one letter, followed by two digits, followed by two letters. The letters R , S , T , and U and the digit 3 will not be used. So, there are 22 letters and 9 digits that will be used. Assume that the letters and digits can be repeated. How many such coupon codes can be generated?
A computer programming team has twelve members. Suppose seven team members are women and five are men. How many groups of five can be chosen that contain two women and three men? (select the correct answer) O 165 ○ 210 ○ 350 O 125 ○ 56