How the Bottom Number Is Derived from the Top with Worked Examples

by Jeeny
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Kolkata FataFat

Are you confused with the bottom number mystery in Kolkata FF charts? Well, actually there is nothing mysterious about it because it is just a math equation. Each of the single-digit results in the charts is derived mathematically from the three-digit Patti declared above it. This article will demonstrate how to derive the bottom number from the top with examples.

The Process of Digit Sum Calculation Explained

The process that lies behind each single-digit result in Kolkata FF is known as the digit sum method, and this method was used since the very beginning of the game. Three digits of the Patti are summed up, and if the result is larger than 9, it is done once again until there is only one digit left. This is the same process that is used in many other numeric games. The bottom number is the essence of the whole Patti.

Step-by-Step Rule

  • Step 1: Find the three-digit Patti declared for the Baji.
  • Step 2: Calculate the sum of three digits of the Patti.
  • Step 3: If the sum is one digit (0 to 9), the process is finished.
  • Step 4: Otherwise, calculate the sum of two digits in the number.
  • Step 5: Repeat the process until there is only one digit left.

Worked Example 1: Patti 123

Let us begin with the simplest case when the Patti is 123. The three digits are 1, 2, and 3, and their sum is 1+2+3 which is 6. So, 6 is the single-digit result we need because there is no further reduction possible. Consequently, the result row looks like 123/6, and this is all.

Check Result Here: Kolkata Fatafat

Worked Example 2: Patti 356

Now let us solve something a little bit harder – Patti 356. Three digits are summed up to get 3+5+6 which is 14. Since 14 is a two-digit number, one more step of reduction is necessary. So, two digits of 14 are summed up: 1+4=5, and this becomes the final single-digit result. So, the result row looks like 356/5, and it is clear.

Worked Example 3: Patti 789

With the increasing numbers there can be even more steps of reduction. For instance, take Patti 789. Three digits are summed up to get 7+8+9 which is 24. Since 24 is a two-digit number, another step is needed: 2+4=6. The result row is 789/6. That is why some Pattis have the same single-digit result despite having different digits.

What About Triple Zero and All Same Digits Pattis?

The magic of the digit sum trick works with any kind of Patti, and there are no exceptions for the special cases. In case of a triple zero such as 000, 0+0+0 is 0, and the row will look like 000/0. In case of a Triple Patti, such as 555, the result of digits’ summing will be 5+5+5 which is 15, and further reduction will be 1+5=6. So, the row will look like 555/6.

Conclusion

As you may guess, there is nothing mysterious about the bottom number in each result. It is just the digit sum of the Patti reduced to one digit between 0 and 9. Once you understand several worked examples, the process will become obvious in your mind automatically. However, do not forget that Kolkata Fatafat is a game based on luck, and you should play it for fun, but not for money.

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