(a) If first prize is $100, second prize is $80, and third prize is $30, in how many different ways can the prizes be awarded (b) If each prize is $80, in how many different ways can the prizes be awarded?

(a) If first prize is $100, second prize is $80, and third prize is $30, in how many different ways can the prizes be awarded (b) If each prize is $80, in how many different ways can the prizes be awarded?

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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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

Two hundred people buy raffle tickets. Three winning tickets will be drawn at random.
(a) If first prize is $100, second prize is $80, and third prize is $30, in how many different ways can the prizes be awarded?
(b) If each prize is $80, in how many different ways can the prizes be awarded?

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