Assume that a circular pizza is being cut into pieces. If there are C cuts and I points of intersection ofpairs of cuts, how many pieces of pizzas (P) are there? Suppose that cuts can only intersect insidethe pizza and that at most two cuts intersect at the same point inside the pizza. For example, there are10 pieces of pizza when there are 4 cuts intersecting in 5 points.

Answered: Assume that a circular pizza is being…

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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Goofus and Gallant are at the popular submarine sandwich chain, Sub Direction. Sub Direction has twenty- seven different sandwich toppings including meats, cheeses, and sauces, and you can have as many of each as you like on your sandwich. If you put more than five toppings on your sandwich, you have to pay extra, so Goofus and Gallant just want the five. a) Gallant (rightly) believes that sauces should go at the top of the sandwich, followed by leafy greens, then cheeses, then meats. How many ways can Gallant construct his five-topping sandwich? b) Goofus is just going to inhale the whole sandwich anyway, so who cares what order the toppings are in, he says. How many sandwiches can Goofus make?

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