7^n divide (49)! then n=
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Step-by-step explanation:
There are octal strings of length . of them have at most one nonzero digit. The rest can be divided into equal groups based on their first two nonzero digits.
By the Binomial Theorem, . All but the first 2 of these terms are divisible by . And the first two terms are . Thus, divides .
There are 8n octal strings of length n . 7n+1 of them have at most one nonzero digit. The rest can be divided into 49 equal groups based on their first two nonzero digits.
ans=7
7^n divide (49)! then n=7
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