Your closet is a bit disorganized and, in addition to that, the light does notwork. In the wardrobe, you have 19 pairs of trousers and 19 shirts, one ofeach color, a total of 19 colors. You want to get dresseduniformly in the same color. Every time you stick your hand in the wardrobe,you bring out an item of clothing. How many times do you have to stick yourhand into the wardrobe to safely pull out a pairof trousers and a shirt of the same color?

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Answered: Your closet is a bit disorganized and,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Alfred is opening a new office and needs to decorate and furnish it. He has 3 sources for wallpaper, 2 sources for carpet, 6 sources for drapes, 5 sources of furniture, and 8 sources for pictures. How many ways can he select one of each?
It’s that time of year again when Grandma Kim is having a fundraiser for the church. Everyone is bringing something to sell and I am bringing brownies, cookies, and muffins. Each brownie contains 2 teaspoons of milk, 2 ounces of flour and 4 ounces of sugar. Each cookie contains 1.5 teaspoons of milk, 1 ounce of flour, and 3 ounces of sugar. Each muffin contains 1 teaspoon of milk, 2 ounces of flour, and 1.25 ounces of sugar. Currently, I have 48 teaspoons of milk, 81 ounces of flour, and 80 ounces of sugar. Then, each brownie is on sell for $5.00, each cookie is on sell for $3.00 and each muffin is on sell for $2.50. What is the maximum profit that will be made for the fundraiser? To find the solution pivot.
There are three light bulbs in a room, and three light switches outside the room. You are outside, and want to match up which switch goes with which light bulb. You can only travel into the room once, and cannot come back in again. You can do anything you want upon entering the room. How can you set the situation so that you will know which switch goes with which light bulb?
Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife Mary Smith and his daughter Judy Smith will prepare three different salad dishes. John's right side neighbor Jenny Jones and Bob Jones will prepare two desserts. John's left side neighbor Linda will prepare one meat dish. John's cross street neighbor Sue will prepare soup. John wants to figure out how many different ways for him to taste all dishes in order (assuming he will taste all salads, meat, desserts and soup). (Note : For example, "Salad, Soup, Salad, Meat, Dessert, Salad, Dessert" is one of the possible order he can try.
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Helen and her three roommates live in a two-bedroom apartment at the University of Texas at El Paso. Each has a different major (one woman is majoring in chemistry). Coincidentally, each woman has a different hair color (one is blonde). Determine each woman’s full name, hair color, and major. Joan, who isn’t Ms. Bonds, doesn’t have either of the two darker hair colors (black or brown), and neither does Irene. Glory doesn’t share a room with Ms. Carlson or the accounting major. Glory’s major isn’t physics. The physics major has brown hair. Daniels hair is neither red nor black. Bonds, whose first name is not Glory, is majoring in English. Alder and Helen are both majoring in a science and often take classes together.
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