CAT 2020 Exam Shift 3 Solved Paper

Question : 66 of 76

Marks: +1, -0

How many integers in the set

\{100,101,102, \ldots, 999\}

have at least one digit repeated?

Solution:

The given set is a set of all three-digit numbers and the number of numbers in the set

=900

.
The number of three-digit numbers having no digits repeating

=9 × 9 × 8=648

Required answer

=900-648=252

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