Question

Let x1,x2,x3,y be elements of set A={1,2,3,5,6,10,15,30} then number of positive integral solutions of x1x2x3=y is

Answer 1

Answer:

Number of solutions of the equation

is the same as the number of solutions of equation <br>

<br> where

is dummy variable <br> Now number of solutions

number of ways distinct integers

,

and

can be distributed in four boxes

,

,