At first, it was really hard to believe that only 220 valid Pattis are used in Matka system among 1000 numbers in general. But after several days of studying the problem with the help of pen, book and experienced participants of Matka I have found the answer and made the mathematical calculations. After checking my results with the charts from the site fatafatkolkata.net I want to say that it is the real logic of Matka.
Range 000-999: Ordinary 1000 Numbers
When we count all 3-digit numbers from 000 to 999 we get the result 1000 numbers. It is an easy task even for those people who are the worst in mathematics: 10 * 10 * 10 = 1000. It might seem that Matka uses all 1000 Pattis, but it is not.
Why There Are Only 220 Pattis
There is the special rule which reduces the number of Pattis to 220: all Patti numbers in Matka are in non-decreasing order of digits. It means that 123 is the valid Patti number in Matka, but 132, 213, 231, 312 and 321 are not the valid numbers because the digits of these numbers are not in ascending order from left to right. Thus, all six variants of permutations become only one valid Patti number 123. It works the same way with all other Patti numbers. In this way we can remove all the unnecessary duplicates and leave only 220 Pattis from 1000.
Three Types of Pattis
All 220 Pattis can be divided into three groups depending on the digits repetition:
- Single Patti (SP): all three digits are different. It is 120 Pattis.
- Double Patti (DP): two of the three digits are identical and the third one is different. It is 90 Pattis.
- Triple Patti (TP): all three digits are identical. It is 10 Pattis: 000, 111, 222, 333, 444, 555, 666, 777, 888 and 999.
As we can see, the total sum of the number of Pattis is 120 + 90 + 10 = 220. Any number that is posted in the charts of Matka, on the panels and in the updates from fatafatkolkata.net belong to one of these three types of Pattis.
The Math of 120 Single Pattis
For SP we need to choose three different digits among 10 in ascending order. It is the mathematical expression of 10 choose 3 that is 10! / (3! * 7!). It gives us the result 120. Thus, there are 120 Single Pattis in Matka. It explains the approximate balance of SP and other types of Pattis in all charts.
The Math of 90 Double Pattis
For DP we need two identical digits and the third one which is different. We should choose the digit which is repeated (there are 10 ways to do this) and the second digit which is one of the remaining nine digits. So the total number of all these variants is 10 * 9 = 90. So there are exactly 90 Double Pattis in Matka. It explains why DP occupies the middle position in relation to frequency in charts.
The Math of 10 Triple Pattis
The calculation of Triple Patti is the easiest of all: the Patti consists of the same three digits. So there are only 10 variants which satisfy this condition: 000, 111, 222, 333, 444, 555, 666, 777, 888 and 999. So there are exactly 10 numbers of TP in Matka. It explains why TP is seldom seen.
How the Understanding Affects Probability
When we choose a random Patti out of the range of 220 Pattis:
- The probability of getting any Single Patti is 1 to 120 because there are 120 SP Pattis.
- The probability of getting any Double Patti is 1 to 90 because there are 90 DPs.
- The probability of getting any Triple Patti is 1 to 10 in TP Pattis range, but 1 to 220 in Patti range.
However, in fact the probabilities of getting Pattis in Matka are different for the three types of Pattis because each type has a different number of underlying raw 3-digit combinations. For example, 123 (SP) includes 6 underlying raw numbers (123, 132, 213, 231, 312, 321), while 555 (TP) is represented by itself only. That is the reason why TP has a higher prize than SP.
Why You Should Know the Logic of Pattis
Many people do not pay attention to this information considering it boring, but in my opinion this is the very basis of the whole system. Without knowing how 220 Pattis are counted it will be impossible to understand the logic of payout rates, charts and guessing system. I have analyzed the long-term data from fatafatkolkata.net and want to say that 120-90-10 Pattis ratio is the fundamental point of the entire market.
The Basic Table with Pattis and their Counts
Type of Patti | Count | Examples | Approximate Probability
Single Patti (SP) | 120 | 123, 245, 689 | 1 to 120
Double Patti (DP) | 90 | 112, 558, 990 | 1 to 90
Triple Patti (TP) | 10 | 111, 555, 999 | 1 to 220
Total Pattis | 220 | — | —
Conclusion
The range 000 to 999 may include 1000 Pattis, but in fact it includes only 220 Pattis because of the ascending order of digits rule. 120 SP, 90 DP and 10 TP Pattis are the full set of numbers which are used in Matka. It is the simple math, but it defines the whole backbone of the system. As usual I want to remind you that this information is given for educational purposes only and not to encourage participation in number-based games in India.
