1. In a segment of 207.5 fm, Forever Radio. Dj Lam-ang can play 5 lovesongs in a row. If there are 27 to select from, in how many ways can the programfor this segment be arranged?2. Oliveros family will eat at Mcdollibee Antipo lo. In how many ways can Mr.Oliveros arrange his wife and 7 children in a round dining table, if:i. all of them can choose their own chair?ii. Mr. and Mrs. Oliveros together with their youngest child will be sittingbeside each other?i. 4 siblings refuse to sit beside each other?3. Find the number of words, with or without meaning, that can be formedusing the letters of the word BAYANIHAN. How many of these arrangementsi. start with Y?ii. all the vowel always occur together?iii. the vowels never occur together?

According to the Bartleby guideline only one question can be solved at one time, post the remaining…

Answered: 1. In a segment of 207.5 fm, Forever…

1. In a segment of 207.5 fm, Forever Radio. Dj Lam-ang can play 5 love songs in a row. If there are 27 to select from, in how many ways can the program for this segment be arranged?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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

1. In a segment of 207.5 fm, Forever Radio. Dj Lam-ang can play 5 love
songs in a row. If there are 27 to select from, in how many ways can the program
for this segment be arranged?
2. Oliveros family will eat at Mcdollibee Antipo lo. In how many ways can Mr.
Oliveros arrange his wife and 7 children in a round dining table, if:
i. all of them can choose their own chair?
ii. Mr. and Mrs. Oliveros together with their youngest child will be sitting
beside each other?
i. 4 siblings refuse to sit beside each other?
3. Find the number of words, with or without meaning, that can be formed
using the letters of the word BAYANIHAN. How many of these arrangements
i. start with Y?
ii. all the vowel always occur together?
iii. the vowels never occur together?

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