How many three digit numbers abc are formed where at least two of the three…

2023

How many three digit numbers abc are formed where at least two of the three digits are same.

  1. A.

    252

  2. B.

    291

  3. C.

    170

  4. D.

    311

Attempted by 14 students.

Show answer & explanation

Correct answer: A

Sol:

Total 3 digit numbers = 9 x 10 x 10 = 900

Total number of 3 digit numbers without repetition = 9 x 9 x 8 = 648

So number of three digit numbers with at least one digit repeats = 900 - 648=252

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