1. Tardigrade
  2. Question
  3. Mathematics
  4. If r , s , t are different prime numbers and a , b , c are the positive integers such that LCM of a , b, c is r2 s4 t2 and HCF of a, b, c is r s2 t, then the number of ordered triplets (a, b, c) is

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Q. If $r , s , t$ are different prime numbers and $a , b , c$ are the positive integers such that $LCM$ of $a , b$, c is $r^{2} s^{4} t^{2}$ and HCF of $a, b, c$ is $r s^{2} t$, then the number of ordered triplets $(a, b, c)$ is

Permutations and Combinations

Solution:

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Total ways $6 × 6 × 12 = 432$