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Given x=-9 is a root of x372x276x0 the roots are

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There are two groups of subjects, one of which consists of 5 science subjects and 3 engineerign subjects and the other consits of 3 science and 5 engineering subjects. An unbaised die is cast. If number 3 or 5 turns up, a subject from group I is selected, otherwise a subject is selected from group II. The probability that an engineering subject is selected ultimately is Given 5 different green dyes, 4 different blue dyes and 3 different red dyes, the number of combination of dyes taking atleast one green dye and one blue dye, is