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Numbers greater than 1000 but not greater than 4000 are to be formed with the digits 0, 1, 2, 3, 4, allowing repetitions, the number of possible numbers is
  • a)
    370
  • b)
    376
  • c)
    365 
  • d)
    none of these.
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Numbers greater than 1000 but not greater than 4000 are to be formed w...
By reapeating digit 0,1,3,4 there are 376 numbers are formed between 1000- 4000
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Community Answer
Numbers greater than 1000 but not greater than 4000 are to be formed w...
The smallest number in the series is 1000, a 4-digit number.  
The largest number in the series is 4000, the only 4-digit number to start with 4.
The left-most digit (thousands place) of each of the 4 digit numbers other than 4000 can take one of the 3 values 1 or 2 or 3.
So, The left-most digits have values 3.
The next 3 digits (hundreds, tens and units place) can take any of the 5 values 0 or 1 or 2 or 3 or 4.
So, the next 3 digits have values 5.
Hence, there are numbers.
or 375 numbers from 1000 to 3999.
Including 4000, there will be 376 such numbers.
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Numbers greater than 1000 but not greater than 4000 are to be formed with the digits 0, 1, 2, 3, 4, allowing repetitions, the number of possible numbers isa)370b)376c)365d)none of these.Correct answer is option 'B'. Can you explain this answer?
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