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Tamil Nadu Board of Secondary EducationHSC Science Class 11

How many numbers are there between 100 and 500 with the digits 0, 1, 2, 3, 4, 5? if the repetition of digits is not allowed

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Question

How many numbers are there between 100 and 500 with the digits 0, 1, 2, 3, 4, 5? if the repetition of digits is not allowed

Sum
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Solution

The 100’s place can be filled (by using 1, 2, 3, 4) 10’s in 4 ways

The 10’s place can be filled in (6 – 1)5 ways

And the unit place can be filled in (5 – 1)4 ways

So the number of 3 digit number 4 × 5 × 4 = 80

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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 6. (ii) | Page 166

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