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QJEEM19Ma24ec: JEE Main 2019 Mathematics - Class 11 JEEM19Ma24ec Solution: The number of natural numbers less than 7,000 which can be…

The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7, 9 (repitition of digits allowed) is equal to :

Multiple Choice Options

  • A 374
  • B 372
  • C 375
  • D 250

Step-by-Step Verified Solution

Total no 1 digit numbers possible = 4 (allowed digits 1, 3, 7, 9)

Total no 2 digit numbers possible = 4×5 = 20

Total no 3 digit numbers possible = 4×5×5 = 100

Total no 4 digit numbers possible = 2×5×5×5 = 250

So the number of natural numbers less than 7,000 possible are
= 4 + 20 + 100 + 250 = 374

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