Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
680 views
in Aptitude by (101k points)
closed by
How many integers in the set {100, 101, 102, ...., 999} have at least one digit repeated?

1 Answer

0 votes
by (102k points)
selected by
 
Best answer

Calculation:

The total numbers of integers are

⇒ 999 - 100 + 1 = 900

Let N be the number of integers with no repeated digits

Total 10 digits we have (0, 1 ........, 9)

The first digit can't be 0, we have 9 digits

For the second digit, we have 9 digits,

For the third digit, we have 8 digits

Total number of digits with no repetition

⇒ N = 9 × 9 × 8 = 648

Integers with at least one digit repeated

⇒ 900 - N

⇒ 900 - 648 = 252

∴ There will be 252 integers with at least one digit repetition.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...