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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 no restriction - Mathematics

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Question

Count the numbers between 999 and 10000 subject to the condition that there are no restriction

Sum

Solution

No restriction

We have to find 4 digit numbers

The 1000’s place can be filled in 9 ways .....(excluding zero) and the 100’s, 10’s and unit places respectively can be filled in 10, 10, 10 ways .....(including zero)

So the number of numbers between 999 and 10000

= 9 × 10 × 10 × 10

= 9000

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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. (i) | Page 166

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