The number of solutions of `x_(1)+x_(2)+x_(3)=84 (x_(1),x_(2),x_(3)` being `3n+1` type where `n` is natural number ) is

The number of solutions of x_(1)+x_(2)+x_(3)=51(X1,X2,X3 being 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 :

The number non-negative integral solutions of x_(1)+x_(2)+x_(3)+x_(4) le n (where n is a positive integer) is:

If n is the number of positive integral solutions of x_(1)x_(2)x_(3)x_(4)=210. Then

If N is the number of positive integral solutions of x_(1)x_(2)x_(3)x_(4)=770, then N=

Statement-1: If N the number of positive integral solutions of x_(1)x_(2)x_(3)x_(4)=770 , then N is divisible by 4 distinct prime numbers. Statement-2: Prime numbers are 2,3,5,7,11,13, . .

The number of solutions of the following equations x_(2)-x_(3)=1,-x_(1)+2x_(3)=-2, x_(1)-2x_(2)=3 is

The number of solutions of x such that (x+1)^(log_((x+1))(3+2x-x^(2)))=(x-3)|x| is/are