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How many numbers between 100 and 1000 have 4 in the units place?

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Question

How many numbers between 100 and 1000 have 4 in the units place?

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Solution

The numbers between 100 and 1000 have 3-digits numbers.
A 3-digit number is to be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 where the units place digit is 4.
Since Unit’s place digit is 4.
∴ it can be selected in 1 way only.
10’s place digit can be selected in 10 ways.
For 3-digit number 100’s place digit should be a non-zero number.
∴ 100’s place digit can be selected in 9 ways.
∴ By using fundamental principle of multiplication, total number of numbers between 100 and 1000 which have 4 in the units place = 1 × 10 × 9 = 90

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Chapter 6: Permutations and Combinations - Exercise 6.1 [Page 73]

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