How many numbers greater than 24000 can be formed by using digits 1, 2, 3, 4, 5 when no digit is repeated

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120

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Solution

The correct option is C 84
The digits are 1, 2, 3, 4, 5. We have to form number greater than 24000.

Required number will be = (Total) - (Those beginning with 1) - (Those beginning with 21) - (Those beginning with 23)
$= 5! - 4! - 3! - 3! = 120 - 24 - 6 - 6 = 84$

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