(a) In how many ways can the letters in the word COMPUTERS be arranged? (b) In how many ways can the letters in the word COMPUTERS be arranged if the letters TE must appear next to each other in that order? (e) How many total ways are there to select a group of four letters from the word COMPUTERS and arrange them? Hint: this is a two step process. (d) How many distinguishable arrangements are there of the letters in the word BOOKKEEPER?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Problem 6
For this problem, you may leave your answers unreduced.

#### (a)
In how many ways can the letters in the word **COMPUTERS** be arranged?

#### (b)
In how many ways can the letters in the word **COMPUTERS** be arranged if the letters **TE** must appear next to each other in that order?

#### (c)
How many total ways are there to select a group of four letters from the word **COMPUTERS** and arrange them? 
*Hint: this is a two-step process.*

#### (d)
How many distinguishable arrangements are there of the letters in the word **BOOKKEEPER**?
Transcribed Image Text:### Problem 6 For this problem, you may leave your answers unreduced. #### (a) In how many ways can the letters in the word **COMPUTERS** be arranged? #### (b) In how many ways can the letters in the word **COMPUTERS** be arranged if the letters **TE** must appear next to each other in that order? #### (c) How many total ways are there to select a group of four letters from the word **COMPUTERS** and arrange them? *Hint: this is a two-step process.* #### (d) How many distinguishable arrangements are there of the letters in the word **BOOKKEEPER**?
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