(a) How many distinguishable ways can the letters of the word MILLIMICRON be arranged in order? 1663200 (b) How many distinguishable orderings of the letters of MILLIMICRON begin with M and end with N? 30240 (c) How many distinguishable orderings of the letters of MILLIMICRON contain the letters CR next to each other in order and also the letters ON next to each other in order? 15120

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Certainly! Below is the transcription of the text suitable for an educational website:

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**Exercise: Arrangements of Letters in a Word**

Consider the word "MILLIMICRON" and explore different ways of arranging its letters. 

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**(a)** How many distinguishable ways can the letters of the word MILLIMICRON be arranged in order?

- **Answer:** 1,663,200

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**(b)** How many distinguishable orderings of the letters of MILLIMICRON begin with M and end with N?

- **Answer:** 30,240

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**(c)** How many distinguishable orderings of the letters of MILLIMICRON contain the letters CR next to each other in order and also the letters ON next to each other in order?

- **Answer:** 15,120

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Transcribed Image Text:Certainly! Below is the transcription of the text suitable for an educational website: --- **Exercise: Arrangements of Letters in a Word** Consider the word "MILLIMICRON" and explore different ways of arranging its letters. --- **(a)** How many distinguishable ways can the letters of the word MILLIMICRON be arranged in order? - **Answer:** 1,663,200 --- **(b)** How many distinguishable orderings of the letters of MILLIMICRON begin with M and end with N? - **Answer:** 30,240 --- **(c)** How many distinguishable orderings of the letters of MILLIMICRON contain the letters CR next to each other in order and also the letters ON next to each other in order? - **Answer:** 15,120 ---
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