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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Count the numbers between 999 and 10000 subject to the condition that there are at least one of the digits is repeated

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Question

Count the numbers between 999 and 10000 subject to the condition that there are at least one of the digits is repeated

Sum
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Solution

At least one of the digits is repeated:

Required number of 4 digit numbers = Total number of 4 digit numbers – Number of 4 digit numbers when no digit is repeated

= 9000 – 4536

= 4464

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Chapter 4: Combinatorics and Mathematical Induction - Exercise 4.1 [Page 166]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 4 Combinatorics and Mathematical Induction
Exercise 4.1 | Q 8. (iii) | Page 166

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