Find it Too SIMPLE!!!!!

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Can you find a seven digit number which describes itself. The first digit is the number of zeros in the number. The second digit is the number of ones in the number, etc.


The answer is 3211000.

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2 solutions

Thomas Crow
Jun 2, 2014

Start with the theory that we'll have 6 zeroes - that's 6000000.

But now you need a one in the column for the number of sixes - that's 5000001.

We now don't have a six but we have a 5 and a 1 - that's 5100010.

Now we only have four 0s - 4100010.

Now no 5s but a 4 - 4100100.

Now two 1s but not accounted for. This self corrupts. Follow it through slowly! If we replace the 1 in the 1 column with a two, we'll need to account for the 2. That'll use a digit so we'll reduce the 0 count to 3. We now have a 3.

3211000.

Three zeroes. Two ones. One two. One three. No fours, fives or sixes!

Good luck getting your head around this!

I must say, I absolutely love this question!!

Rahul Suresh
Mar 1, 2014

3211000

3 zeroes

2 ones

Why not 6000000

Abdulrhman Hassien - 7 years, 1 month ago

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bcz it contain 1 -> 6

Hemant Maheshwari - 7 years ago

Given that "which describe it self". So Quistion should be improved for single answer.

Vinod Chhallany - 6 years, 10 months ago

Also 5100000 ?? 5 zeroes 1 ones

Ricky Mathew - 7 years, 3 months ago

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Then there should be a 1 in 5th position , shouldn't it ?

Eraz ahmed - 7 years, 2 months ago

it contain 1 5

Hemant Maheshwari - 7 years ago

2004444 What is wrong in this answer. This is more accurate.. 😂😂😂

Vinod Chhallany - 6 years, 10 months ago

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