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The number of 6 digit numbers that can be formed using the digits 0, 1, 2, 5, 7 and 9 which are divisible by 11 and no digit is repeated is

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answer is B.

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Detailed Solution

$∵ | (a + c + e) - (b + d + 4) | = 11. k$
Case-(1):- $(a, c, e) = (9, 2, 1) & (b, d, k) = (7, 5, 0)$
Case-(2):- $(a, c, e) = (7, 5, 0) & (b, d, k) = (9, 2, 1)$
$\to 2.2! \times 3! = 24 T o t a l = 60$

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