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 The number of positive integral solutions of x1x2x3x4=770 is 

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a
256
b
729
c
900
d
770

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detailed solution

Correct option is A

x1x2x3x4=770=2×5×7×11We can assign 2 to any one of xi s . Thus 2 can be assigned in 4 ways similarly each of 5, 7, 11 can beassigned in 4 ways.the number of positive integer solutions = 4 x 4 x4x 4 =256


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The number of positive integral solutions satisfying the equation x1x2x3x4x5=240 is


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