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

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