Consider seven digit number `x_1,x_2,...,x_7,` where `x_1,x_2,..,x_7 != 0` having the property that `x_4` is the greatest digit and digits towards the left and right of `x_4` are in decreasing order. Then total number of such numbers in which all digits are distinct is

Consider seven digit number x_(1),x_(2),...,x_(7) where x_(1),x_(2),...,x_(7)!=0 having the property that x_(4) is the greatest digit and digits towards that x_(4) and right of x_(4) are in decreasing order. Then total number of such numbers in which all digits are distinct is

The total number of 4 digit numbers in which the digits are in descending order is

The total number of 4 digit numbers in which the digit are in descending order, is

The total number of 4 digit numbers in which the digit are in descending order, is

If x is the greatest 4-digit number that is divisible by 237, then the sum of digits of x is

Total number of 6 digits numbers in which only and all the four digits 1, 2, 3, 4 appear, is:

Total number of 6 digits numbers in which only and all the four digits 1, 2, 3, 4 appear, is: