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JEE Main 20199 JanuaryEvening Shift
Exam
JEE Main
Year
2019
Date
9 January
Shift
Evening Shift
Subject
Mathematics
Chapter
Permutation and Combination

JEE Main 2019 · 9 January · Evening Shift · Mathematics · Permutation and Combination

The number of natural numbers less than 7000 which can be formed by...

The number of natural numbers less than 70007000 which can be formed by using the digits 0,1,3,7,90, 1, 3, 7, 9 (repetition of digits allowed) is equal to:The number of natural numbers less than 7000 which can be formed by using the digits 0, 1, 3, 7, 9 (repetition of

Options

  1. A375375
  2. B250250
  3. C374374
  4. D372372

Correct answer

C. 374374

Step-by-step solution

The number of natural numbers less than 7000 which can be formed by using the digits 0, 1, 3, 7, 9 (repetition of

∴∴ Total number formed less than

7000=3×5×5×5=3757000 = 3 \times 5 \times 5 \times 5 = 375

∴∴ Total natural number formed less than

7000=375−1=3747000 = 375 - 1 = 374

(number zero has been excluded)

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