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Fundamental Principle of Counting

Numbers forme...

Question

Numbers formed using the digits $1, 2, 3, 4, 5$ (without repetition) that are greater than $20000$ are

A

120

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B

90

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C

96

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D

104

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Solution

The correct option is C $96$
Required number=total possible number-number starting with $1$ .
$= 5! - 4! = 120 - 24 = 96$

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