The number of integers, greater than 7000 that can be formed, using the digits 3 , 5 , 6 , 7 , 8 without repetition is

Step-by-step solution

Case 1 forming 4 digit number, When 7 is at 1000 ' s place 7   _   _   _ , So total number of ways will be 4 × 3 × 2 = 24 ways, Case 2 forming 4 digit number when 8 is at 1000 ' s place 8   _   _   _ , So total number of ways will be 4 × 3 × 2 = 24 ways, Case 3 forming 5 digit number, So total number of ways will be 5 ! = 120 ways, Now adding all the cases we get, 120 + 24 + 24 = 168 ways.