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If you write down all the numbers from 1 to 100, then how many times do you write 3 ?
  • a)
    11
  • b)
    18
  • c)
    20
  • d)
    21
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If you write down all the numbers from 1 to 100, then how many times d...
Clearly, from 1 to 100, there are ten numbers with 3 as the unit's digit- 3, 13, 23, 33, 43, 53, 63, 73, 83, 93; and ten numbers with 3 as the ten's digit - 30, 31, 32, 33, 34, 35, 36, 37, 38, 39.
So, required number = 10 + 10 = 20.
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Most Upvoted Answer
If you write down all the numbers from 1 to 100, then how many times d...
3 13 23 30 31 32 33 34 35 36 37 38 39 43 53 63 73 83 93
It's 20 times.
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Community Answer
If you write down all the numbers from 1 to 100, then how many times d...


Calculating the frequency of the number 3 in the numbers from 1 to 100

To determine how many times the number 3 appears in the numbers from 1 to 100, we need to analyze the pattern and frequency of the digit 3 in each number.

Numbers with a single occurrence of the digit 3
- The numbers 3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39 all contain the digit 3 once.
- There are 13 numbers with a single occurrence of the digit 3.

Numbers with multiple occurrences of the digit 3
- The numbers 33, 43, 53, 63, 73, 83, 93 contain the digit 3 twice.
- There are 7 numbers with two occurrences of the digit 3.

Calculating the total frequency of the digit 3
- Adding up the single occurrences and the multiple occurrences of the digit 3, we get a total of 20 occurrences of the digit 3 in the numbers from 1 to 100.

Therefore, the correct answer is option 'C', 20 times.
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If you write down all the numbers from 1 to 100, then how many times do you write 3 ?a)11b)18c)20d)21Correct answer is option 'C'. Can you explain this answer?
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