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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
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The correct answer is:
225
225
Since, $r, s, t$ are prime numbers.
$\therefore$ Selection of $p$ and $q$ are as under
$\therefore$ Total number of ways to select $s=9$.
Similarly, the number of ways to select $t=5$.
$\therefore$ Total number of ways $=5 \times 9 \times 5=225$.
$\therefore$ Selection of $p$ and $q$ are as under
$\therefore$ Total number of ways to select $s=9$.
Similarly, the number of ways to select $t=5$.
$\therefore$ Total number of ways $=5 \times 9 \times 5=225$.
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