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lf r, s, t are prime numbers and p, q ar...

lf `r, s, t` are prime numbers and `p, q` are the positive integers such that their LCM of `p,q` is `r^2 t^4 s^2,` then the numbers of ordered pair of `(p, q)` is (A) `252` (B) `254` (C) `225` (D) `224`

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According to the question , r,s,t are prime numbers and L.C.M. of p,q =`r^(2)s^(4)t^(2)` . Hence we can select r,s,t in p and q as follows.

Selection of t ……. 5 different ways.
Hence requried of ways of possible ordered pairs (p,q) `=5xx9xx5=225`
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