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A person buys twelve packets of VANISH d...

A person buys twelve packets of VANISH degergent. Each packet contains one coupon, which bears one the letters of the word VANISH. If he shows all the letters of the word VANISH, he gets one free packet. If he gets exactly one free packet, then the number of different possible combinations of the coupon is `(a) ^18 C_6-^(17)C_6` `(b) ^11 C_5 -1` `(c) ^17 C_5` `(d) 461`

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