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1,2,3,4,5,6,9 → seven digit number multiple of 11?

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Best answer

Correct answer is 432

Sum of digit at even place = x 

Sum of digit at odd place = y

∵ x + y = 30, ∴x - y = 0

x - y = ± 11

Only possibility is x + y = 30 and x - y = 0

∵ x = 15, y = 15

So digit at even place is {1,5,9}, {2,4,9},{4,5,6}

Odd place is {2,3,4,6},{1,3,5,6},{1,2,3,9} respectively.

∴Total number = 3(3!-4!) = 18 x 24 = 144 x 3 = 432

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