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Let q be a positive with q le 50. If t...

Let q be a positive with `q le 50`.
If the sum `""^(98)C_(30)+2" "^(97)C_(30)+3." "^(96)C_(30)+ …… + 68." "^(31)C_(30)+69." "^(30)C_(30)=""^(100)C_(q)`
Find the sum of the digits of q.

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