How to find repeated patterns of combination of numbers in the rows of a matrix

I have a matrix with N rows (N is known) with 15 numbers but in different order in each row.

Conditions:

1) 15 numbers from 1 to 25 (randomic).

2) The numbers are always in ascending order.

3) There are no duplicates of a number in the same row.

I'd like to detect all possible repeated patterns of numbers and count how many times the sequence appears in the rows.

Pattern: Any repeated combination of at least 7 numbers or more (in sequence or not).

For example I have a matrix as below:

1 4 5 6 7 9 11 12 13 15 16 19 20 23 24

1 4 6 7 8 9 10 11 12 14 16 17 20 23 24

1 2 4 5 8 10 12 13 16 17 18 19 23 24 25

1 2 4 8 9 11 12 13 15 16 19 20 23 24 25

1 2 4 5 6 7 10 12 15 16 17 19 21 23 25

1 4 7 8 10 12 14 15 16 18 19 21 22 23 25

1 5 6 8 9 10 13 15 16 17 18 19 20 22 25

1 2 5 6 7 9 13 14 15 18 19 20 21 23 25

1 2 4 6 8 10 12 15 16 18 19 21 23 24 25

1 2 3 5 6 7 9 13 14 16 17 18 19 20 21

Some patterns found manually:

Sequence = 1 4 12 15 19 23 25

Qty numbers = 7

Count rows = 4

Sequence = 1 5 6 9 13 15 19 20

Qty numbers = 8

Count rows = 3

Sequence = 1 4 6 10 12 16 23

Qty numbers = 7

Count rows = 3

Sequence = 1 2 4 6 10 12 15 16 19 21 23 25

Qty numbers = 12

Count rows = 2

Sequence = 1 2 4 5 10 12 16 17 19 23 25

Qty numbers = 11

Count rows = 2

Is there anything for this in MATLAB?

Thanks in advance!

Answer 1

[Image Analyst]

I don't have time to try anything for you now, but did you try ismember?