Problem 11In how many ways can you distribute npennies to k children if each child is supposed to get at least 5 pennies?Problem 12A toy shop has 15 airplanes, 15 buses, 17 trains, and 20 bikes in the stock.How many ways are there for a person to take 15 toys home if all the airplanes are identical, all the buses areidentical, all the trains are identical and all the bikes are identical?а.How many ways are there for a person to take 15 toys home if all the airplanes are distinct, all the buses aredistinct, all the trains are distinct and all the bikes are distinct?b.How many ways are there for a person to take 25 toys home if all the airplanes are identical, all the buses areс.identical, all the trains are identical and all the bikes are identical?

Name: Problem 11In how many ways can you distribute npennies to k children
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Description: Problem 11In how many ways can you distribute npennies to k children if each child is supposed to get at least 5 pennies?Problem 12A toy shop has 15 airplanes, 15 buses, 17 trains, and 20 bikes in the stock.How many ways are there for a person to ta

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Problem 11 In how many ways can you distribute n pennies to k children if each child is supposed to get at least 5 pennies? Problem 12 A toy shop has 15 airplanes, 15 buses, 17 trains, and 20 bikes in the stock. How many ways are there for a person to take 15 toys home if all the airplanes are identical, all the buses are identical, all the trains are identical and all the bikes are identical? а. b. How many ways are there for a person to take 15 toys home if all the airplanes are distinct, all the buses are distinct, all the trains are distinct and all the bikes are distinct? How many ways are there for a person to take 25 toys home if all the airplanes are identical, all the buses are identical, all the trains are identical and all the bikes are identical? с.

Problem 11 In how many ways can you distribute n pennies to k children if each child is supposed to get at least 5 pennies? Problem 12 A toy shop has 15 airplanes, 15 buses, 17 trains, and 20 bikes in the stock. How many ways are there for a person to take 15 toys home if all the airplanes are identical, all the buses are identical, all the trains are identical and all the bikes are identical? а. b. How many ways are there for a person to take 15 toys home if all the airplanes are distinct, all the buses are distinct, all the trains are distinct and all the bikes are distinct? How many ways are there for a person to take 25 toys home if all the airplanes are identical, all the buses are identical, all the trains are identical and all the bikes are identical? с.

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.

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Question

Problem 11
In how many ways can you distribute n
pennies to k children if each child is supposed to get at least 5 pennies?
Problem 12
A toy shop has 15 airplanes, 15 buses, 17 trains, and 20 bikes in the stock.
How many ways are there for a person to take 15 toys home if all the airplanes are identical, all the buses are
identical, all the trains are identical and all the bikes are identical?
а.
How many ways are there for a person to take 15 toys home if all the airplanes are distinct, all the buses are
distinct, all the trains are distinct and all the bikes are distinct?
b.
How many ways are there for a person to take 25 toys home if all the airplanes are identical, all the buses are
с.
identical, all the trains are identical and all the bikes are identical?

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