All the five-digit numbers `N=abcde` having property `a lt b lt c lt d lt e` are arranged in the increasing order of their magnitude. The `97^(th)` number in the list does not contain the digit

All the five digit numbers in which each successive digit exceeds its predecessor are arranged in the increasing order of their magnitude. The 97^(th) number in the list does not contain the digit

All the natural numbers, sum of whose digits is 8 are arranged in ascending order then the 170^(th) number in the list does not contain the digit

All the 7-digit numbers containing each of the digits 1,2,3,4,5,6,7 exactly once, and not divisible by 5, are arranged in increasing order. Find the 2000^(th) number in the list

All the 7 digit numbers containing each of the digits 1,2,3,4, 5, 6,7 exactly once, and not divisible by5 are arranged in the increasing order. Find the (2004)^(th) number in this list.

All the 7 digit numbers containing each of the digits 1,2,3,4, 5, 6,7 exactly once, and not divisible by5 are arranged in the increasing order. Find the (2004)^(th) number in this list.

Seven girls G_(1), G_(2), G_(3) , …, G_(7) are such that their ages are in order G_(1) lt G_(2) lt G_(3) lt … lt G_(7) . Five girls are selected at random and arranged in increasing order of their ages. The probability that G_(5) and G_(7) are not consecutive is

The number of three digit numbers of the form xyz such that x lt y , z le y and x ne0 , is

There are five boys A, B, C, D and E. The order of their height is A lt B lt C lt D lt E . Number of ways in which they have to be arranged in four seats in increasing order of their height such that C and E are never adjacent.

The number of 7 digit integers abcdefg, where a lt b lt c lt d gt e gt f gt g such that a, b, c, d, e, f, g in {1,2,3,…..,9} . Are

If lamda be the number of 3-digit numbers are of the form xyz with x lt y, z le y and x ne0 , the value of (lamda)/(30) is