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Apply any mathematical function to 5 zeroes and get your answer as 120

Factorial of 0 is 1 so

(0! + 0! + 0! + 0! +0!)! = 120

Its a 5 digit number where… 1st digit denotes how many zeroes are there in the number 2nd digit denotes how many ones are there in the number 3rd digit denotes how many twos are there in the number 4th digit denotes how many threes are there in the number 5th digit denotes how many fours are there in the number

? + ? + ? + ? + ? = 30

You have to fill numbers in place of question marks. The numbers that you can use are 1, 3, 5, 7, 9, 11, 13 and 15. You can repeat the numbers if you like.

What is the five-digit number, no zeroes, in which the second digit is three times the first, the third is one more than the second, the fourth is four times the first, and the last is one-half more than the second?