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Tamil Nadu Board of Secondary EducationHSC Science Class 11

How many three-digit numbers are there with 3 in the unit place? with repetition - Mathematics

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Question

How many three-digit numbers are there with 3 in the unit place?
with repetition

Sum

Solution

With repetition

The unit place is filled (by 3) in 1 way

The 10’s place can be filled in 10 ways

The 100’s place can be filled in 9 ways (excluding 0)

So the number of 3 digit numbers with 3 unit – place = 9 × 10 × 1 = 90

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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 5. (i) | Page 166

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