Question

Puzzle Time challengeIts a 5 digit number where...1st digit denotes how many zeroes are there in the number2nd digit denotes how many ones are there in the number3rd digit denotes how many twos are there in the number4th digit denotes how many threes are there in the number5th digit denotes how many fours are there in the numberCan you guess the number?

Answer 1

vnmurty  The SageNumber N = A B C D E

A = number of zeros among A, B, C, D, and E.   A ≠ 0. So A can be 1, 2, 3 or 4.
B = number of 1s in the number.       B can be 0, 1, 2, 3 or 4.
C = number of twos.       C can be 0, 1, 2, 3, or 4.
D = number of 3s.     D = 0, 1, 2, 3, or 4.
E = number of fours.  E = 0, 1, 2, 3 or 4

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A can not be 0, as then there is a zero, and hence A must become 1. 
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Now let  A = 1.            N = 1 B C D E

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Answer 2

The answer is 21200 as it satisfies all the given conditions