(a) Three vehicles (one blue, one green and one grey) with a carrying capacity of 12 passengers each are to be used to ferry 30 international tourists and 5 local tourists (who are a family) from OR Tambo Airport to Vilakazi Street, Soweto. If the logistics manager randomly assigns the tourists to the vehicles, (i) in how many ways can the local tourists use the same vehicle? (ii) and makes a decision that the blue vehicle will carry 11 tourists, in how many ways can each of the vehicles be made to carry at least one local tourist?

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