Number of 5 different digit natural number `x_1x_2x_3x_4x_5` where `x_1 < x_2 < x_3 < x_4 > x_5` is

Number of 5different digit natural number x_(1)x_(2)x_(3)x_(4)x_(5) where x_(1) x_(5)

Find the total number of six digit numbers x_(1)x_(2)x_(3)x_(4)x_(5)x_(6) having the property x_(1)ltx__(2)lex_(3)ltx_(4)ltx_(5)lex_(6) .

Find the total number of six digit numbers x_(1)x_(2)x_(3)x_(4)x_(5)x_(6) having the property x_(1)ltx__(2)lex_(3)ltx_(4)ltx_(5)lex_(6) .

Solve 5(2x+1)le35 , where x is a natural number.

The number of divisors of the natural number N where N=2^(5)x3^(5)x5^(2)x7^(3) of the form 4n+2,n in W is

The number of solutions of the equation x_(1)+x_(2) + x_(3) + x_(4) + x_(5) = 101 , where x_(i)^(') s are odd natural numbers is :

The number of solutions of the equation x_(1)+x_(2) + x_(3) + x_(4) + x_(5) = 101 , where x_(i)^(') s are odd natural numbers is :