A contest consists of pedicting the resu...

A contest consists of pedicting the results (win, draw or defeat) of 10 foot ball matches. Then the number of ways n which one entry contains at least 6 icorrect results is
(A) `3^10`-`sum_(r=0) ^5 .^10C_r 2^r`
(B) `30^10-sum_(r=1)^5 .^10C_r 2^r`
(C) `sum_(r=0)^5 .^10C_r`
(D) `sum_(r=6)^5 .^10C_r 3^r`

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