Q.

The number of positive integral solutions of x1x2x3x4=770 is

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a

256

b

729

c

900

d

770

answer is A.

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Detailed Solution

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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