(Q1) (a) Count the number of arrangements of the word FEBRUARY that satisfy all of the following conditions. The B is somewhere to the left of Y (but not necessarily beside Y); • No two vowels are beside cach other. Examples: BEYURRAF is a valid arrangement, while FREYBARU and FEBRUARY are invalid. (b) Count the number of arrangements of the word FEBRUARY that satisfy all of the following conditions. The string BYE appears in the arrangement; The string YEAR does not appear in the arrangement; • The two R's are separated by at least four letters in between them.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(Q1) (a) Count the number of arrangements of the word FEBRUARY that satisfy all of the following
conditions.
• The B is somewhere to the left of Y (but not necessarily beside Y);
No two vowels are beside each other.
Examples: BEYURRAF is a valid arrangement, while FREYBARU and FEBRUARY are invalid.
(b) Count the number of arrangements of the word FEBRUARY that satisfy all of the following
conditions.
The string BYE appears in the arrangement;
• The string YEAR does not appear in the arrangement;
• The two R's are separated by at least four letters in between them.
Examples: RFBYEAUR is a valid arrangement, while RBYEARUF and RUARBYEF are invalid.
Transcribed Image Text:(Q1) (a) Count the number of arrangements of the word FEBRUARY that satisfy all of the following conditions. • The B is somewhere to the left of Y (but not necessarily beside Y); No two vowels are beside each other. Examples: BEYURRAF is a valid arrangement, while FREYBARU and FEBRUARY are invalid. (b) Count the number of arrangements of the word FEBRUARY that satisfy all of the following conditions. The string BYE appears in the arrangement; • The string YEAR does not appear in the arrangement; • The two R's are separated by at least four letters in between them. Examples: RFBYEAUR is a valid arrangement, while RBYEARUF and RUARBYEF are invalid.
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