1.

The total numbre of intergral solutins of abc =24, isA. 36B. 90C. 120D. 30

Answer» In example 100, we have seen that the total number of positive integral solutions of abc=24 is 30. We observe that any two of the factors in each factorization may be negative.
`:.` Number of integral solutions
= Number of positive integral solutions
+ Number of integral solutions having two negative factors
`=30+""^(3)C_(2)xx30=120`.


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