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 The number of integers greater than 6000 that can be formed. using the digits 3,5,6,7 and 8 without repetition , is

Answer:

Explanation:

The integer greater than  6000 may be of 4 digits or 5 digit. So here two cases arise.

 Case I.

      When number is of 4 digit. Four-digit number can start from 6,7 or 8

 Thus, total number of 4 digit number. which are greater than 6000 =   $3\times4\times3\times2=72$

 Cae II. When number is of 5 digit

  Total number of five digit number which are greater than 6000=5!= 120

     $\therefore$  Total number of integers = 72+120=192