A person giving a party wants to set out 15 assorted cans of soft drinks for his guest. He shops at store that sells five different types of soft drinks. a) How many different selections of cans of 15 soft drinks can he make? (Hint: How many dividers would you need to separate the types of soft drinks?) b) If root beer is one of the types of soft drink, how many different selections include at least six cans of root beer? c) If the store has only five cans of root beer but at least 15 cans of each other type of soft drink, how many different sections are there? (Hint: Use the information from part (a) and (b) to help count this efficiently)

A person giving a party wants to set out 15 assorted cans of soft drinks for his guest. He shops at store that sells five different types of soft drinks. a) How many different selections of cans of 15 soft drinks can he make? (Hint: How many dividers would you need to separate the types of soft drinks?) b) If root beer is one of the types of soft drink, how many different selections include at least six cans of root beer? c) If the store has only five cans of root beer but at least 15 cans of each other type of soft drink, how many different sections are there? (Hint: Use the information from part (a) and (b) to help count this efficiently)

Name: A person giving a party wants to set out 15 assorted cans of soft dri
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Description: A person giving a party wants to set out 15 assorted cans of soft drinks for his guest. He shops ata store that sells five different types of soft drinks.(a) How many different selections of cans of 15 soft drinks can he make?(Hint: How many divider

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

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

Topic Video

Question

A person giving a party wants to set out 15 assorted cans of soft drinks for his guest. He shops at
a store that sells five different types of soft drinks.
(a) How many different selections of cans of 15 soft drinks can he make?
(Hint: How many dividers would you need to separate the types of soft drinks?)
(b) If root beer is one of the types of soft drink, how many different selections include at least six cans of
root beer?
(c) If the store has only five cans of root beer but at least 15 cans of each other type of soft drink, how
many different sections are there?
(Hint: Use the information from part (a) and (b) to help count this efficiently)

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