PROBLEM 4 group different main dishes. or four friends goes to a restaurant for dinner. The restaurant offers 12 ) Suppose that the group collectively orders four different dishes to share. The waiter just needs to place all four dishes in the center of the table. How many different possible orders are there for the group? (11) Suppose that each individual orders a main course. The waiter must re- member who ordered which dish as part of the order. It's possible for more than one person to order the same dish. How many different possible orders are there for the group? How many different passwords are there that contain only digits and lower-case letters and satisfy the given restrictions? (iii) Length is 7 and the password must contain at least one digit.

PROBLEM 4 group different main dishes. or four friends goes to a restaurant for dinner. The restaurant offers 12 ) Suppose that the group collectively orders four different dishes to share. The waiter just needs to place all four dishes in the center of the table. How many different possible orders are there for the group? (11) Suppose that each individual orders a main course. The waiter must re- member who ordered which dish as part of the order. It's possible for more than one person to order the same dish. How many different possible orders are there for the group? How many different passwords are there that contain only digits and lower-case letters and satisfy the given restrictions? (iii) Length is 7 and the password must contain at least one digit.

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

PROBLEM 4
group
different main dishes.
or four friends goes to a restaurant for dinner. The restaurant offers 12
) Suppose that the group collectively orders four different dishes to share.
The waiter just needs to place all four dishes in the center of the table.
How many different possible orders are there for the group?
(11) Suppose that each individual orders a main course. The waiter must re-
member who ordered which dish as part of the order. It's possible for more
than one person to order the same dish. How many different possible orders
are there for the group?
How many different passwords are there that contain only digits and lower-case
letters and satisfy the given restrictions?
(iii) Length is 7 and the password must contain at least one digit.

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