Permutations and Combinations Question & Answers
The Number of times the digit 8 will be written when listing the integers from 1 to 1000 is :
|A) 100||B) 200|
|C) 300||D) 400|
Since 8 does not occur in 1000, we have to count the number of times 8 occurs when we list the integers from 1 to 999. Any number between 1 and 999 is of the form xyz, where
Let us first count the numbers in which 8 occurs exactly once.
Since 8 can occur atone place in ways. There are such numbers.
Next, 8 can occur in exactly two places in such numbers. Lastly, 8 can occur in all three digits in one number only.
Hence, the number of times 8 occur is
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