In how many ways can the letters of the word 'OPTICAL be arranged so that the always come together? In how many ways can the letters of the word 'CORPORATION' be arranged so th always come together? In how many ways can a group of 5 men and 2 women be selected from a total 3 women?

In how many ways can the letters of the word 'OPTICAL be arranged so that the always come together? In how many ways can the letters of the word 'CORPORATION' be arranged so th always come together? In how many ways can a group of 5 men and 2 women be selected from a total 3 women?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter3: Transient Heat Conduction

Section: Chapter Questions

Problem 3.2DP

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Question

Counting principles. Show your complete solution and provide your explanations.

• In how many ways can the letters of the word 'OPTICAL' be arranged so that the vowels
always come together?
• In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels
always come together?
• In how many ways can a group of 5 men and 2 women be selected from a total of 7 men and
3 women?

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