Statement 1: The number of positive integral solutions of `a b c=30` is 27. Statement 2: Number of ways in which three prizes can be distributed among three persons is `3^3`

Find the number of positive integral solutions of the inequality 3x+y+zlt=30.

The number of positive integral solutions of x^4-y^4=3789108 is a. 0 b. 1 c. 2 d. 4

The number of ways in which 11 identical pencils can be distributed among 6 kids each receiving atleast one is

The number of non-negative integral solutions of x_1+x_2+x_3+4x_4=20 is

Statement 1: let E={1,2,3,4}a n dF={a ,b}dot Then the number of onto functions from EtoFi s14. Statement 2: Number of ways in which four distinct objects can be distributed into two different boxes is 14 if no box remains empty.

The number of ways in which 21 objects can be grouped into three groups 8, 7 and 6 object is

Number of ways in which 25 identical things be distributed among five persons if each gets odd number of things is

Find the number of ways in which 5 distinct balls can be distributed in three different boxes if no box remains empty.

Find the number of positive integral solutions satisfying the equation (x_1+x_2+x_3)(y_1+y_2)=77.