Questionbank: Permutation and Probability

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Consider this - the digit can appear 1, 2 ir 3 times!!

3 Digit numbers > 500

    Q.33: How many 3-digit numbers greater than 500 contain the digit 9 appearing at least once?
    1. 191
    2. 176
    3. 153
    4. 189


  • Correct Answer
    Choice B. 176

Detailed Solution

509, 519... 999 all these numbers have atleast one 9 in them
These put together gives 50 numbers

Now 590,591,..599 atleast has one 9 , but 599 is already included in the first list. Hence 9 numbers.
Similarly for 600-900 series, all put together we get 45 numbers

All numbers from 900 to 999 have a 9 in them but 990-999 are already accounted and also 909,919..999 are accounted.
Hence 81 numbers will have 9 atleast once.

Put together totally 176 numbers have atleast one 9 in them between 500-999.

Correct Answer : 176

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