These are counting problems. You cannot simply write down the final answer. You must be sure to give sufficientexplanation for your counting method. As always - clarity, legibility, and composition count towards your grade.1. You're going to place an order for pickup at a restaurant. The order should have 3 soups, 3 appetizers,and 5 dinners. If the menu contains 6 soups, 8 appetizers, and 17 dinners, and no item can bechosen more than once, how many different pickup orders are possible?

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Answered: 1. You're going to place an order for…

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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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.
2.) The BOS-14 is the new model of cars manufactured by NUC Motors. This model can be achieved in 2 body styles, 4 interior options and 7 different colors. The model can be achieved in automatic transmission as a manual. ER Auto wants to have a model of each of the options available to sell. How many BOS-14 models should you order?
Pizza Gut sells only pizza. They offer five types of crust, five types of cheese, four meat toppings and four vegetable toppings. If you must order exactly one type of cheese, one meat topping and one vegetable topping on your pizza, how many different pizzas can you order at Pizza Gut?
Assume Amy is making a sandwich for lunch and needs to select her sandwich fixings. She will select two meats out of 5 options, 1 cheese out of 3 options, and exactly 3 or exactly 5 vegetables out of the 7 options. She will also decide whether to add mayo or not. How many ways can she make her sandwich.
Part A,B and C please.
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?

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1. You're going to place an order for pickup at a restaurant. The order should have 3 soups, 3 appetizers, and 5 dinners. If the menu contains 6 soups, 8 appetizers, and 17 dinners, and no item can be chosen more than once, how many different pickup orders are possible?