Four items from three different departments of Metro Department Store will be featured in a one-page newspaper advertisement as shown in the following diagram.123456789101112 If items from the same department must be in the same row, how many arrangements are possible? **Title: Arranging Items for a Newspaper Advertisement****Description:**Four items from three different departments of Metro Department Store will be featured in a one-page newspaper advertisement as shown in the following diagram.**Diagram Explanation:**The advertisement layout is depicted as a grid with 3 rows and 4 columns. The grid cells are numbered sequentially from 1 to 12, arranged as follows:- **Row 1:** 1, 2, 3, 4- **Row 2:** 5, 6, 7, 8- **Row 3:** 9, 10, 11, 12**Problem Statement:**If items from the same department must be in the same row, how many arrangements are possible?---This problem requires determining the number of ways to arrange four items from three different departments, ensuring each department's items are kept within a single row in the advertisement diagram.

The number of items =4The number of departments =3The given data is as follows123456789101112The items from the same department must be in the same row.The given condition is that items from the same department must be in the same row.The arrangement will beSame department items4321Same department items4321Same department items4321So for one department(for the first row), four times can be advertised in 4! ways i.e., 4∗3∗2∗1=24waysfor the remaining two departments(for the second and third rows) 24 ways each for each department.The total possible arrangements is given by,The total possible arrangements for the same department must be in the same row the total possible arrangements are 13824 ways.

Math

Statistics

Four items from three different departments of Metro Department Store will be featured in a one-page newspaper advertisement as shown in the following diagram. 1 2 3 4 5 6 7 8 9 10 11 12 If items from the same department must be in the same row, how many arrangements are possible?

Four items from three different departments of Metro Department Store will be featured in a one-page newspaper advertisement as shown in the following diagram. 1 2 3 4 5 6 7 8 9 10 11 12 If items from the same department must be in the same row, how many arrangements are possible?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Four items from three different departments of Metro Department Store will be featured in a one-page newspaper advertisement as shown in the following diagram.

1	2	3	4
5	6	7	8
9	10	11	12

If items from the same department must be in the same row, how many arrangements are possible?

**Title: Arranging Items for a Newspaper Advertisement**

**Description:**

Four items from three different departments of Metro Department Store will be featured in a one-page newspaper advertisement as shown in the following diagram.

**Diagram Explanation:**

The advertisement layout is depicted as a grid with 3 rows and 4 columns. The grid cells are numbered sequentially from 1 to 12, arranged as follows:

- **Row 1:** 1, 2, 3, 4
- **Row 2:** 5, 6, 7, 8
- **Row 3:** 9, 10, 11, 12

**Problem Statement:**

If items from the same department must be in the same row, how many arrangements are possible?

---

This problem requires determining the number of ways to arrange four items from three different departments, ensuring each department's items are kept within a single row in the advertisement diagram.

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