The number of 4 -digit integers in the closed interval 2022 , 4482 formed by using the digits 0 , 2 , 3 , 4 , 6 , 7 is ______.

Step-by-step solution

Given the number to be formed by using the digits 0 , 2 , 3 , 4 , 6 , 7 Now assuming counting integers starting from 2 Case-I: if zero on 2 nd place (i) 2   0   2     _ , now here at unit place 5 number can take place except zero as 2020 < 2022 , so 5 possible way. (ii) 2   0   _   _ , now here at ten's place 4 number 3 , 4 , 6 , 7 can take place and at unit place all 6 number can take place so total 4 × 6 = 24 possible way Case-II: If non-zero number on 2 nd place i.