Number of Patterns Possible?

TheJason

New member
Joined
Apr 11, 2019
Messages
17
I have this drumming lesson site. I was wondering if the combinations I made - considering there are only 4 notes - in which they are either snare or bass drum notes - are the max number - of if more are possible.

Here are the patterns:

S = snare drum

B = bass drum

S, S, S, S,

B, B, B, B

------------

S, S, B, B

B, S, S, B

S, B, S, B

B, B, S, B

S, B, B, B

B, S, B, B

----------

S, S, B, S

B, S, S, S

S, B, S, S

B, B, S, S

S, B, B, S

B, S, B, S
 
Last edited:

MarkFL

Super Moderator
Staff member
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Nov 24, 2012
Messages
1,830
Hello, Jason! :)

For each note, you have two choices, either S or B, and so the total number of sequences possible is:

\(\displaystyle N=2^4=16\)

SSSS
SSSB
SSBS
SSBB
SBSS
SBSB
SBBS
SBBB
BSSS
BSSB
BSBS
BSBB
BBSS
BBSB
BBBS
BBBB
 

TheJason

New member
Joined
Apr 11, 2019
Messages
17
Hello, Jason! :)

For each note, you have two choices, either S or B, and so the total number of sequences possible is:

\(\displaystyle N=2^4=16\)

SSSS
SSSB
SSBS
SSBB
SBSS
SBSB
SBBS
SBBB
BSSS
BSSB
BSBS
BSBB
BBSS
BBSB
BBBS
BBBB
SSSB and BBBS were the two I didn't come up with - doing it without math formulas.
 

MarkFL

Super Moderator
Staff member
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Messages
1,830
SSSB and BBBS were the two I didn't come up with - doing it without math formulas.
I treated it like counting from 0-15 in binary to systematically catch all unique strings.
 

Harry_the_cat

Senior Member
Joined
Mar 16, 2016
Messages
1,393
You could also use a tree diagram similar to the one below (with more branches added) so that you don't miss any or count any twice.
12655
 
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