We have a deck of 52 playing cards. We pick 2 cards from the deck. We require that we pick at least one diamond. That is, among the two cards we picked, at least one of the two cards must be a diamond. In how many ways can we do this?

We have a deck of 52 playing cards. We pick 2 cards from the deck. We require that we pick at least one diamond. That is, among the two cards we picked, at least one of the two cards must be a diamond. In how many ways can we do this?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: if there are no restrictions? if Holly and Sam cannot sit together?

A: here given , Holly, Parker, Jace, Ola, Amir and Sam have gone out to a football game together, They…

Q: Choose the letter of the correct answer. A certain elementary school club has 50 members, 20 of…

Q: State if this scenario involves a permutation or a combination. Then find the number of…

A: The student body of 10 students wants to elect a president, vice president, secretary, andtreasurer.…

Q: Four cards are dealt from a standard deck of 52 cards. How many ways can you be dealt two jacks and…

A: A standard deck contains 52 cards. Four cards have to select.

Q: Miriam's art teacher presents her with five colors of paint but instructs her to use only three of…

Q: If the boy has 10 T-shirts, 6 pants, and 4 pairs of shoes. How many possibilities can he dress…

Q: How many ways are there to arrange the letters in the phrase REPEATED? If you have three shades of…

A: How many ways are there to arrange the letters in the phrase REPEATED? The word "REPEATED" has 8…

Q: deck of cards has 2 black, 5 green, and 6 blue cards. You pick 2 cards from the deck. Cards are…

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

A: Solution : Find the number of different ways to draw a 5-card hand from a standard deck of cards to…

Q: From the deck of 52 playing cards, how many ways can 2 cards be drawn such that one is face card and…

Q: A student has 7 books on his deck. In how many different ways can he select a set of 3?

A: student has 7 books on his deck. No. of different ways to select set of 3 = ?

Q: State if this scenario involves a permutation or a combination. Then find the number of…

A: 15 applicants for four jobs : : Computer Programmer, Software Tester, Manager, andSystems Engineer.

Q: our cards are dealt from a standard deck of 52 cards. How many ways can you be dealt three aces and…

A: Four cards are dealt from a standard deck of 52 cards. There are 4 cards of aces in the deck. There…

Q: Suppose you have 9 shirts to pick from and 10 pants to pick from. You want to know how many outfits…

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: The objective of this question is to determine the number of ways a committee of five persons can be…

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 10 concert tickets to distribute among 15 friends. Of the 10 tickets, six have assigned…

Q: In a cohort of 25 graduating students, there are 3 different prizes to be awarded. If no student can…

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: Find the number of different poker hands that contain exactly 3 kings, while the other remaining 2…

A: Total number of cards is 52. The number of cards for the poker hand is 5.

Q: The soccer team has 20 members and will elect P, VP, T and S. In how many ways can this be done?

Q: You are dealt 5 cards from a standard 52 card deck (order doesn't matter and without replacement).…

A: Answer:----. Date:----11/10/2021

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

Q: If a bag contains 4 blue marbles 6 red marbles and 9 green marbles then the number of ways that 3…

A: From the information, given thatThe total number of blue marbles=4The total number of red marbles =…

Q: A new-custom made sweater is made by choosing the color, the material, whether or not the sweater…

A: It is given that there are 7 colors available and 3 type of materials available.

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

Q: Chandler is a magician performing at a birthday party. Chandler first performs one of 3 card tricks,…

Question

We have a deck of 52 playing cards. We pick 2 cards from the deck. We require that we pick at least one diamond.

That is, among the two cards we picked, at least one of the two cards must be a diamond.

In how many ways can we do this?

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

Similar questions

Jessica is grocery shopping and has 16 cherry tomatoes and 12 grape tomatoes in her shopping basket. When she gets home, she prepares her ingredients for lunch, but she forgets which of the tomatoes are cherry and which are grape. She cannot distinguish between the two types of tomatoes, so she just picks 13 tomatoes. How many different sets of 13 tomatoes are possible if there are exactly 7 cherry tomatoes?
Dr. Lawrence has minimized his wardrobe during the fall of 2020, since there's no reason to dress up fancy these days. He has three pairs of jeans, five sweatshirts, and four hats that he puts to regular use. If he were to select his outfit for the day at random, how many different jean-sweatshirt-hat combinations are there? 6.
If you have 33 regular decks of 52 cards, how many hands of 33 cards can be made, where all cards are of the same suit?
Suppose you visit a small, local panadería and decide to pick up some pasteries. The panadería has a selection of 8 different cupcakes, 14 different donuts ,7 different muffins ,2 types of donut holes , and 11 different types of pan dulce. You pick one of each. How many different orders are possible.
Ms. Rhea gets 13 different diamond cards from a deck of cards. In how many ways can these thirteen cards be picked by Sharon, Eisha, Julieth, Allysa, Madz, Burn and Isabela if no one can pick more than one card?
Draw two cards from a regular deck. If cards of the same suit are drawn, player I wins, if cards of the same color are drawn, player 2 wins. Justify your answer.
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?
in poker, how many ways can you get three aces and two 3's
Alex wishes to pack 8 of his 15 shirts on a trip.( All the shirts are different). He does not wish to pack all 3 of his white shirts nor to pack all 3 of his red shirt. ( This means he has 9 shirts that are neither white nor red) how many ways does he have to pack 8 shirts given these two restrictions?
A person has 4 hats, 3 pairs of gloves, and 5 scarves. Assuming they all match, how many ways can this person choose 1 hat, 1 pair of gloves, and 1 scarf on a cold day?