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

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

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112

answer is C.

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Detailed Solution

Using the digits 1, 2, 3, 4, 5

No of 5 digit numbers=5!

No. of 5 digit Numbers starting with 1=4!

No of 5 digit Numbers begin with 2 and 1, 3 in 2nd place=2(3!)

Required Number greater then 24000=5!-4!-2(3!)

=120-24-12

=84

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