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The number of integers between 1 and 100...

The number of integers between `1` and `10000` with exactly one '4' and exactly one '5' as its digits does not lie in the interval :

A

`[500, 600)`

B

`[600, 700)`

C

`[700, 800)`

D

`[800, 900)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
The number of …………
Select `2` place `implies ^(4)C_(2)`

Arrange '4' and '5' there `implies 2!`
Each of remaining 2 place can be filled by using `0, 1, 2, 3, 6, 7, 8, 9` i.e. 8 options.
`= ^(4)C_(2)xx21xx8xx8 = 768`
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