(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.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Solve b part only in 20 min and take a thumb up plz.
(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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