A large pile of coins consists of pennies, nickels, dimes, and quarters. Use the method shown in Example 9.6.2 to answer the following questions. (a) How many different collections of 60 coins can be chosen if there are at least 60 of each kind of coin? collections (b) If the pile contains only 30 quarters but at least 60 of each other kind of coin, how many collections of 60 coins can be chosen? collections (c) If the pile contains only 50 dimes but at least 60 of each other kind of coin, how many collections of 60 coins can be chosen? collections (d) If the pile contains only 30 quarters and only 50 dimes but at least 60 of each other kind of coin, how many collections of 60 coins can be chosen? collections

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 2CT: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and a drink....
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A large pile of coins consists of pennies, nickels, dimes, and quarters. Use the method shown in Example 9.6.2 to answer the following questions.
(a) How many different collections of 60 coins can be chosen if there are at least 60 of each kind of coin?
collections
(b) If the pile contains only 30 quarters but at least 60 of each other kind of coin, how many collections of 60 coins can be chosen?
collections
(c) If the pile contains only 50 dimes but at least 60 of each other kind of coin, how many collections of 60 coins can be chosen?
collections
(d) If the pile contains only 30 quarters and only 50 dimes but at least 60 of each other kind of coin, how many collections of 60 coins can be chosen?
collections
Transcribed Image Text:A large pile of coins consists of pennies, nickels, dimes, and quarters. Use the method shown in Example 9.6.2 to answer the following questions. (a) How many different collections of 60 coins can be chosen if there are at least 60 of each kind of coin? collections (b) If the pile contains only 30 quarters but at least 60 of each other kind of coin, how many collections of 60 coins can be chosen? collections (c) If the pile contains only 50 dimes but at least 60 of each other kind of coin, how many collections of 60 coins can be chosen? collections (d) If the pile contains only 30 quarters and only 50 dimes but at least 60 of each other kind of coin, how many collections of 60 coins can be chosen? collections
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