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

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प्रश्न

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

बेरीज
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उत्तर

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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पाठ 4: Combinatorics and Mathematical Induction - Exercise 4.1 [पृष्ठ १६६]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 4 Combinatorics and Mathematical Induction
Exercise 4.1 | Q 8. (iii) | पृष्ठ १६६

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