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The total number of positive integral solutions of abc=30, isA. 30B. 27C. 8D. none of these

Answer» We have,
`30=2xx3xx5=10xx3xx1`
`=2xx15xx1=6xx5xx1xx30`
Hence, total number of positive integral solutions of abc = 30 is
`3!+3!+3!+3!+(3!)/(2!)=27`


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