(a) How many ways can the letters of the word MAILBOX be arranged in a row?Since the letters in the given word are distinct, there are as many arrangements of these letters in a row as there are permutations of a set with7elements. So the answer is 5,040(b) How many ways can the letters of the word MAILBOX be arranged in a row if M and A must remain together (in order) as a unit?360X(c) How many ways can the letters of the word MAILBOX be arranged in a row if the letters ILB must remain together (in order) as a unit?720

We use techniques of basic counting to solve this question.

(b) How many ways can the letters of the word MAILBOX be arranged in a row if M and A must remain together (in order) as a unit? 360 X (c) How many ways can the letters of the word MAILBOX be arranged in a row if the letters ILB must remain together (in order) as a unit? 720 X

(b) How many ways can the letters of the word MAILBOX be arranged in a row if M and A must remain together (in order) as a unit? 360 X (c) How many ways can the letters of the word MAILBOX be arranged in a row if the letters ILB must remain together (in order) as a unit? 720 X

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.CT: Chapter Test

Problem 1CT: Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They...

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Question

(a) How many ways can the letters of the word MAILBOX be arranged in a row?
Since the letters in the given word are distinct, there are as many arrangements of these letters in a row as there are permutations of a set with
7
elements. So the answer is 5,040
(b) How many ways can the letters of the word MAILBOX be arranged in a row if M and A must remain together (in order) as a unit?
360
X
(c) How many ways can the letters of the word MAILBOX be arranged in a row if the letters ILB must remain together (in order) as a unit?
720

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