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Two n-digit integers (leading 0 allowed)...

Two n-digit integers (leading 0 allowed) are said to be equivalent if one is a permutation of the other. Thus 10075 and 01057 are equivalent.Find the number of 5-digit integers such that no two are equivalent.

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Let n denote the number of all n-digit positive integers formed by the digits 0, 1 or both such that no consecutive digits in them are 0. Let b_n = the number of such n-digit integers ending with digit 1 and c_n = the number of such n-digit integers ending with digit 0. The value of b_6 , is