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Q. Number of ordered triplets of natural number $\left(a , b , c\right)$ for which $abc\leq 11$

NTA AbhyasNTA Abhyas 2022

Solution:

$abc=1$ in $1$ ways
$abc=2,3,5,7,11$ in $15$ ways
$abc=4,9$ in $12$ ways
$abc=8$ in $10$ ways
$abc=6,10$ in $18$ ways
So, total number of solution is $56$