s) I am creating a seating chart for my class with 15 students. The front row has 7 seats and Ashley and Blake must sit next to each other in the front row. How many ways can I assign students to seats in the front row?

s) I am creating a seating chart for my class with 15 students. The front row has 7 seats and Ashley and Blake must sit next to each other in the front row. How many ways can I assign students to seats in the front row?

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

3.
s) I am creating a seating chart for my class with 15 students. The front row has
7 seats and Ashley and Blake must sit next to each other in the front row. How many
ways can I assign students to seats in the front row?

Expert Solution

Step 1: Given data,

Here total tudents = n =15

Front row has 7 seats and ashley and blake must be sit next to each other.

so r=7

Here to find ways of seating arrangement with given condition use permmutation.

Formula for permutation is:

n P r = n! / (n-r)!

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$Fundamental Counting Principle$

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