If r, s, t are prime numbers and p, q are the positive integers such that LCM of p, q is r^2 s^4 t^2 , then the number of ordered pairs (p, q) is

Step-by-step solution

Since, r, s, t are prime numbers. Selection of p and q are as under Total number of ways to select s=9 . Similarly, the number of ways to select t=5 . Total number of ways =5 9 5=225 .