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JEE Main
Exam
JEE Main
Subject
Mathematics
Chapter
Basics of Mathematics

JEE Main · Mathematics · Basics of Mathematics

A three digit number n is such that the last two digits of it are...

A three digit number nn is such that the last two digits of it are equal and differ from the first. The number of such nn 's is

Options

  1. A64
  2. B72
  3. C81
  4. D900

Correct answer

C. 81

Step-by-step solution

If the last two digits is 0,0 , then in Ist digit any of the numbers except 0 i.e., 9 numbers If the last two digits is 1,1 , then in Ist digit any of the numbers except 0 and 1 , i.e. 8 numbers ∴\therefore The total number of numbers =9+8×9=81=9+8 \times 9=81
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