Answered: m how many distinc ways can the letter…

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

Im how many distinc ways can the letter of the word MAMAS be arranged?

Expert Solution

Step 1

To find the number of distinct ways the letters of the word MAMAS be arranged:

If we had 5 unique letters such as CARES, we'd be able to arrange the letters in 5! = 120 ways. (We'd have 5 choices of what the first letter could be, 4 choices for the next letter, 3 choices for the next etc..... giving $5 \times 4 \times 3 \times 2 \times 1 = 5! = 120$ .

There are 2 sets of letters where there are more than 1 i.e., we have two M's and two A's.

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