COMEDK · Maths · 4. Permutation Combination
How many natural numbers are there between 100 and 1000 such that at least one of their digits is 6 ?
- A \(258\)
- B \(252\)
- C \(251\)
- D \(243\)
Answer & Solution
Correct Answer
(B) \(252\)
Step-by-step Solution
Detailed explanation
The total number of natural numbers between 100 and 1000 is the set of all 3-digit numbers, which ranges from 100 to 999. The total count is \(999 - 100 + 1 = 900\). To find the number of integers that have at least one digit as 6, it is easier to calculate the complement: the…
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