Answered: 3. In how many ways can the letters in…

3. In how many ways can the letters in "HOUSE" be arranged if а. there are no restrictions? b. the vowels must be together? no two vowels are adjacent? no two consonants are adjacent? С. d.

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

3. In how many ways can the letters in "HOUSE" be arranged if
a. there are no restrictions?
b. the vowels must be together?
no two vowels are adjacent?
d. no two consonants are adjacent?
С.

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